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LCM of 654, 856, 830, 374

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


Find the LCM of 654, 856, 830, 374 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 654, 856, 830, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,856,830,374

Given numbers are 654,856,830,374

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

The LCM of 654,856,830,374 is 21722570760.

Find LCM of 654,856,830,374 with Prime Factorization


2 654, 856, 830, 374
327, 428, 415, 187

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

2 x 327 x 428 x 415 x 187 = 21722570760

Therefore, the lowest common multiple of 654,856,830,374 is 21722570760.

LCM Formula to Find Lowest Common Multiple of 654,856,830,374

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.

654 x 856 x 830 x 374 = 173780566080

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.

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

830 : 1, 2, 5, 10, 83, 166, 415, 830

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,856,830,374, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

856:2x 2x 2x 107

830:2x 5x 83

374:2x 11x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 173780566080/(2x4)

LCM = 173780566080/8

LCM = 21722570760

Thus, we can understand that the LCM of 654,856,830,374 is 21722570760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 856, 830, 374

1. What is the LCM of 654, 856, 830, 374?

Answer: LCM of 654, 856, 830, 374 is 21722570760.

2. How to calculate the LCM of 654, 856, 830, 374?

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 654, 856, 830, 374.

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}.