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LCM of 377, 654, 766

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


Find the LCM of 377, 654, 766 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 377, 654, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,654,766

Given numbers are 377,654,766

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

The LCM of 377,654,766 is 94431714.

Find LCM of 377,654,766 with Prime Factorization


2 377, 654, 766
377, 327, 383

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

2 x 377 x 327 x 383 = 94431714

Therefore, the lowest common multiple of 377,654,766 is 94431714.

LCM Formula to Find Lowest Common Multiple of 377,654,766

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.

377 x 654 x 766 = 188863428

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.

377 : 1, 13, 29, 377

654 : 1, 2, 3, 6, 109, 218, 327, 654

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,654,766, is 1.

Now, the common factors can be found like this.

377:13x 29

654:2x 3x 109

766:2x 383

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

2 = 2

Therefore, the value for common factors is 2.

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 = 188863428/(1x2)

LCM = 188863428/2

LCM = 94431714

Thus, we can understand that the LCM of 377,654,766 is 94431714.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 377, 654, 766

1. What is the LCM of 377, 654, 766?

Answer: LCM of 377, 654, 766 is 94431714.

2. How to calculate the LCM of 377, 654, 766?

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 377, 654, 766.

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}.