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LCM of 428, 952, 692, 677

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


Find the LCM of 428, 952, 692, 677 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 428, 952, 692, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,952,692,677

Given numbers are 428,952,692,677

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

The LCM of 428,952,692,677 is 11930413544.

Find LCM of 428,952,692,677 with Prime Factorization


2 428, 952, 692, 677
2 214, 476, 346, 677
107, 238, 173, 677

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

2 x 2 x 107 x 238 x 173 x 677 = 11930413544

Therefore, the lowest common multiple of 428,952,692,677 is 11930413544.

LCM Formula to Find Lowest Common Multiple of 428,952,692,677

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.

428 x 952 x 692 x 677 = 190886616704

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.

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

692 : 1, 2, 4, 173, 346, 692

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,952,692,677, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

952:2x 2x 2x 7x 17

692:2x 2x 173

677:677

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 2 = 16

Therefore, the value for common factors is 16.

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 = 190886616704/(1x16)

LCM = 190886616704/16

LCM = 11930413544

Thus, we can understand that the LCM of 428,952,692,677 is 11930413544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 952, 692, 677

1. What is the LCM of 428, 952, 692, 677?

Answer: LCM of 428, 952, 692, 677 is 11930413544.

2. How to calculate the LCM of 428, 952, 692, 677?

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 428, 952, 692, 677.

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}.