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LCM of 747, 893, 684, 181, 547

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


Find the LCM of 747, 893, 684, 181, 547 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 747, 893, 684, 181, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,893,684,181,547

Given numbers are 747,893,684,181,547

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

The LCM of 747,893,684,181,547 is 264178793988.

Find LCM of 747,893,684,181,547 with Prime Factorization


3 747, 893, 684, 181, 547
3 249, 893, 228, 181, 547
19 83, 893, 76, 181, 547
83, 47, 4, 181, 547

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

3 x 3 x 19 x 83 x 47 x 4 x 181 x 547 = 264178793988

Therefore, the lowest common multiple of 747,893,684,181,547 is 264178793988.

LCM Formula to Find Lowest Common Multiple of 747,893,684,181,547

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.

747 x 893 x 684 x 181 x 547 = 45174573771948

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.

747 : 1, 3, 9, 83, 249, 747

893 : 1, 19, 47, 893

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

181 : 1, 181

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,893,684,181,547, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

893:19x 47

684:2x 2x 3x 3x 19

181:181

547:547

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

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 45174573771948/(1x171)

LCM = 45174573771948/171

LCM = 264178793988

Thus, we can understand that the LCM of 747,893,684,181,547 is 264178793988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 893, 684, 181, 547

1. What is the LCM of 747, 893, 684, 181, 547?

Answer: LCM of 747, 893, 684, 181, 547 is 264178793988.

2. How to calculate the LCM of 747, 893, 684, 181, 547?

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 747, 893, 684, 181, 547.

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}.