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LCM of 778, 956, 725, 364

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


Find the LCM of 778, 956, 725, 364 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 778, 956, 725, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,956,725,364

Given numbers are 778,956,725,364

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

The LCM of 778,956,725,364 is 24535046900.

Find LCM of 778,956,725,364 with Prime Factorization


2 778, 956, 725, 364
2 389, 478, 725, 182
389, 239, 725, 91

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

2 x 2 x 389 x 239 x 725 x 91 = 24535046900

Therefore, the lowest common multiple of 778,956,725,364 is 24535046900.

LCM Formula to Find Lowest Common Multiple of 778,956,725,364

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.

778 x 956 x 725 x 364 = 196280375200

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.

778 : 1, 2, 389, 778

956 : 1, 2, 4, 239, 478, 956

725 : 1, 5, 25, 29, 145, 725

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,956,725,364, is 1.

Now, the common factors can be found like this.

778:2x 389

956:2x 2x 239

725:5x 5x 29

364:2x 2x 7x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 196280375200/(1x8)

LCM = 196280375200/8

LCM = 24535046900

Thus, we can understand that the LCM of 778,956,725,364 is 24535046900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 956, 725, 364

1. What is the LCM of 778, 956, 725, 364?

Answer: LCM of 778, 956, 725, 364 is 24535046900.

2. How to calculate the LCM of 778, 956, 725, 364?

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 778, 956, 725, 364.

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}.