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LCM of 922, 951, 677, 677, 694

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


Find the LCM of 922, 951, 677, 677, 694 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 922, 951, 677, 677, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,951,677,677,694

Given numbers are 922,951,677,677,694

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

The LCM of 922,951,677,677,694 is 205982147418.

Find LCM of 922,951,677,677,694 with Prime Factorization


2 922, 951, 677, 677, 694
677 461, 951, 677, 677, 347
461, 951, 1, 1, 347

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

2 x 677 x 461 x 951 x 1 x 1 x 347 = 205982147418

Therefore, the lowest common multiple of 922,951,677,677,694 is 205982147418.

LCM Formula to Find Lowest Common Multiple of 922,951,677,677,694

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.

922 x 951 x 677 x 677 x 694 = 278899827603972

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.

922 : 1, 2, 461, 922

951 : 1, 3, 317, 951

677 : 1, 677

677 : 1, 677

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,951,677,677,694, is 1.

Now, the common factors can be found like this.

922:2x 461

951:3x 317

677:677

677:677

694:2x 347

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

2x 677 = 1354

Therefore, the value for common factors is 1354.

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 = 278899827603972/(1x1354)

LCM = 278899827603972/1354

LCM = 205982147418

Thus, we can understand that the LCM of 922,951,677,677,694 is 205982147418.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 951, 677, 677, 694

1. What is the LCM of 922, 951, 677, 677, 694?

Answer: LCM of 922, 951, 677, 677, 694 is 205982147418.

2. How to calculate the LCM of 922, 951, 677, 677, 694?

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 922, 951, 677, 677, 694.

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}.