Question

find LCM of 560,280​

Answer 1

hi there mate!!!

Solution:

560= 5×2× 2×2×2×7

280= 7×2×2×5×2

here,

first the common numbers are:

5× 2× 2×2×7= 10× 28= 280.

secondly,

we multiply the common multiple by the remaining uncommon multiple= 280× 2= 560

hence

the lowest common multiple between 560 and 280= 560

hope this helps!!♥❤

Answer 2

Answer:

The LCM of 560 and 280​ is 560.

Step-by-step explanation:

Given: The numbers are 560 and 280​.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are 560 and 280​.

First, we will find the prime factors for each number.

Prime Factorization of 280 is:

$2 \times 2 \times 2 \times 5 \times 7 => 2^3 \times 5^1 \times 7^1$

Prime Factorization of 560 is:

$2 \times 2 \times 2 \times 2 \times 5 \times 7 => 2^4 \times 5^1 \times 7^1$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

2, 2, 2, 2, 5, 7

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 2 \times 5 \times 7 = 560$

Therefore,

LCM(280, 560) = 560