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LCM of 560, 677, 336, 381

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 560, 677, 336, 381 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 560, 677, 336, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,677,336,381

Given numbers are 560,677,336,381

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 560,677,336,381 is 144444720.

Find LCM of 560,677,336,381 with Prime Factorization


2 560, 677, 336, 381
2 280, 677, 168, 381
2 140, 677, 84, 381
2 70, 677, 42, 381
3 35, 677, 21, 381
7 35, 677, 7, 127
5, 677, 1, 127

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 3 x 7 x 5 x 677 x 1 x 127 = 144444720

Therefore, the lowest common multiple of 560,677,336,381 is 144444720.

LCM Formula to Find Lowest Common Multiple of 560,677,336,381

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

560 x 677 x 336 x 381 = 48533425920

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

677 : 1, 677

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,677,336,381, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

677:677

336:2x 2x 2x 2x 3x 7

381:3x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 7 = 336

Therefore, the value for common factors is 336.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 48533425920/(1x336)

LCM = 48533425920/336

LCM = 144444720

Thus, we can understand that the LCM of 560,677,336,381 is 144444720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 677, 336, 381

1. What is the LCM of 560, 677, 336, 381?

Answer: LCM of 560, 677, 336, 381 is 144444720.

2. How to calculate the LCM of 560, 677, 336, 381?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 560, 677, 336, 381.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.