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LCM of 736, 377, 916, 725

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


Find the LCM of 736, 377, 916, 725 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 736, 377, 916, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,377,916,725

Given numbers are 736,377,916,725

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

The LCM of 736,377,916,725 is 1588527200.

Find LCM of 736,377,916,725 with Prime Factorization


2 736, 377, 916, 725
2 368, 377, 458, 725
29 184, 377, 229, 725
184, 13, 229, 25

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

2 x 2 x 29 x 184 x 13 x 229 x 25 = 1588527200

Therefore, the lowest common multiple of 736,377,916,725 is 1588527200.

LCM Formula to Find Lowest Common Multiple of 736,377,916,725

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.

736 x 377 x 916 x 725 = 184269155200

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

377 : 1, 13, 29, 377

916 : 1, 2, 4, 229, 458, 916

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,377,916,725, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

377:13x 29

916:2x 2x 229

725:5x 5x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 184269155200/(1x116)

LCM = 184269155200/116

LCM = 1588527200

Thus, we can understand that the LCM of 736,377,916,725 is 1588527200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 377, 916, 725

1. What is the LCM of 736, 377, 916, 725?

Answer: LCM of 736, 377, 916, 725 is 1588527200.

2. How to calculate the LCM of 736, 377, 916, 725?

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 736, 377, 916, 725.

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}.