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LCM of 672, 836, 506, 775, 837

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


Find the LCM of 672, 836, 506, 775, 837 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 672, 836, 506, 775, 837. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,836,506,775,837

Given numbers are 672,836,506,775,837

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

The LCM of 672,836,506,775,837 is 22531370400.

Find LCM of 672,836,506,775,837 with Prime Factorization


2 672, 836, 506, 775, 837
2 336, 418, 253, 775, 837
3 168, 209, 253, 775, 837
11 56, 209, 253, 775, 279
31 56, 19, 23, 775, 279
56, 19, 23, 25, 9

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

2 x 2 x 3 x 11 x 31 x 56 x 19 x 23 x 25 x 9 = 22531370400

Therefore, the lowest common multiple of 672,836,506,775,837 is 22531370400.

LCM Formula to Find Lowest Common Multiple of 672,836,506,775,837

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.

672 x 836 x 506 x 775 x 837 = 184396735353600

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

506 : 1, 2, 11, 22, 23, 46, 253, 506

775 : 1, 5, 25, 31, 155, 775

837 : 1, 3, 9, 27, 31, 93, 279, 837

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,836,506,775,837, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

836:2x 2x 11x 19

506:2x 11x 23

775:5x 5x 31

837:3x 3x 3x 31

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 3x 11x 31 = 8184

Therefore, the value for common factors is 8184.

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 = 184396735353600/(1x8184)

LCM = 184396735353600/8184

LCM = 22531370400

Thus, we can understand that the LCM of 672,836,506,775,837 is 22531370400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 836, 506, 775, 837

1. What is the LCM of 672, 836, 506, 775, 837?

Answer: LCM of 672, 836, 506, 775, 837 is 22531370400.

2. How to calculate the LCM of 672, 836, 506, 775, 837?

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 672, 836, 506, 775, 837.

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}.