find the LCM of two or more numbers by completing the steps of the continuous divisions 1.)What is the LCM of 40 and 32?2.)What is the LCM of 12,16,and 48?3.)What is the LCM of 12,20,36 and 28?4.)What is the LCM of 16 and 80?5.)What is the LCM of 14,28 and 7?6.)What is the LCM of 10,6,12,and 14?​

Answer:To find the LCM (Least Common Multiple) using continuous division, follow these steps:1. Divide the numbers by a common prime factor (start with the smallest prime number, 2). 2. Keep dividing until no further common prime factors can be divided.3. Multiply all divisors to get the LCM. 1.) LCM of 40 and 32:- Divide by 2: 40 ÷ 2 = 20, 32 ÷ 2 = 16- Divide by 2: 20 ÷ 2 = 10, 16 ÷ 2 = 8- Divide by 2: 10 ÷ 2 = 5, 8 ÷ 2 = 4- Divide by 2: 5 ÷ 1, 4 ÷ 2 = 2- Divide by 2: 2 ÷ 2 = 1LCM = \( 2 \times 2 \times 2 \times 2 \times 5 \times 2 = 160 \)LCM(40, 32) = 1602.) LCM of 12, 16, and 48:- Divide by 2: 12 ÷ 2 = 6, 16 ÷ 2 = 8, 48 ÷ 2 = 24- Divide by 2: 6 ÷ 2 = 3, 8 ÷ 2 = 4, 24 ÷ 2 = 12- Divide by 2: 3, 4 ÷ 2 = 2, 12 ÷ 2 = 6- Divide by 2: 3, 2 ÷ 2 = 1, 6 ÷ 2 = 3- Divide by 3: 3 ÷ 3 = 1, 1, 3 ÷ 3 = 1LCM = \( 2 \times 2 \times 2 \times 2 \times 3 = 48 \)LCM(12, 16, 48) = 48 3.) LCM of 12, 20, 36, and 28:- Divide by 2: 12 ÷ 2 = 6, 20 ÷ 2 = 10, 36 ÷ 2 = 18, 28 ÷ 2 = 14- Divide by 2: 6 ÷ 2 = 3, 10 ÷ 2 = 5, 18 ÷ 2 = 9, 14 ÷ 2 = 7- Divide by 3: 3 ÷ 3 = 1, 5, 9 ÷ 3 = 3, 7- Divide by 3: 1, 5, 3 ÷ 3 = 1, 7- Divide by 5: 1, 5 ÷ 5 = 1, 1, 7- Divide by 7: 1, 1, 1, 7 ÷ 7 = 1LCM = \( 2 \times 2 \times 3 \times 3 \times 5 \times 7 = 1,260 \)LCM(12, 20, 36, 28) = 1,260 4.) LCM of 16 and 80:- Divide by 2: 16 ÷ 2 = 8, 80 ÷ 2 = 40- Divide by 2: 8 ÷ 2 = 4, 40 ÷ 2 = 20- Divide by 2: 4 ÷ 2 = 2, 20 ÷ 2 = 10- Divide by 2: 2 ÷ 2 = 1, 10 ÷ 2 = 5- Divide by 5: 5 ÷ 5 = 1LCM = \( 2 \times 2 \times 2 \times 2 \times 5 = 80 \)LCM(16, 80) = 80 5.) LCM of 14, 28, and 7:- Divide by 2: 14 ÷ 2 = 7, 28 ÷ 2 = 14, 7- Divide by 2: 7, 14 ÷ 2 = 7, 7- Divide by 7: 7 ÷ 7 = 1, 7 ÷ 7 = 1, 7 ÷ 7 = 1LCM = \( 2 \times 2 \times 7 = 28 \)LCM(14, 28, 7) = 28 6.) LCM of 10, 6, 12, and 14:- Divide by 2: 10 ÷ 2 = 5, 6 ÷ 2 = 3, 12 ÷ 2 = 6, 14 ÷ 2 = 7- Divide by 2: 5, 3, 6 ÷ 2 = 3, 7- Divide by 3: 5, 3 ÷ 3 = 1, 3 ÷ 3 = 1, 7- Divide by 5: 5 ÷ 5 = 1, 1, 1, 7- Divide by 7: 1, 1, 1, 7 ÷ 7 = 1LCM = \( 2 \times 2 \times 3 \times 5 \times 7 = 420 \)LCM(10, 6, 12, 14) = 420Step-by-step explanation:Give 5 stars thx

Answered by nullan136575170057 | 2024-09-05