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LCM of 715, 754, 514, 893

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


Find the LCM of 715, 754, 514, 893 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 715, 754, 514, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,754,514,893

Given numbers are 715,754,514,893

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

The LCM of 715,754,514,893 is 9517406470.

Find LCM of 715,754,514,893 with Prime Factorization


2 715, 754, 514, 893
13 715, 377, 257, 893
55, 29, 257, 893

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

2 x 13 x 55 x 29 x 257 x 893 = 9517406470

Therefore, the lowest common multiple of 715,754,514,893 is 9517406470.

LCM Formula to Find Lowest Common Multiple of 715,754,514,893

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.

715 x 754 x 514 x 893 = 247452568220

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

754 : 1, 2, 13, 26, 29, 58, 377, 754

514 : 1, 2, 257, 514

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,754,514,893, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

754:2x 13x 29

514:2x 257

893:19x 47

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 247452568220/(1x26)

LCM = 247452568220/26

LCM = 9517406470

Thus, we can understand that the LCM of 715,754,514,893 is 9517406470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 754, 514, 893

1. What is the LCM of 715, 754, 514, 893?

Answer: LCM of 715, 754, 514, 893 is 9517406470.

2. How to calculate the LCM of 715, 754, 514, 893?

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 715, 754, 514, 893.

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}.