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LCM of 715, 975, 535, 942

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


Find the LCM of 715, 975, 535, 942 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, 975, 535, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,975,535,942

Given numbers are 715,975,535,942

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

The LCM of 715,975,535,942 is 360338550.

Find LCM of 715,975,535,942 with Prime Factorization


3 715, 975, 535, 942
5 715, 325, 535, 314
13 143, 65, 107, 314
11, 5, 107, 314

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

3 x 5 x 13 x 11 x 5 x 107 x 314 = 360338550

Therefore, the lowest common multiple of 715,975,535,942 is 360338550.

LCM Formula to Find Lowest Common Multiple of 715,975,535,942

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 975 x 535 x 942 = 351330086250

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

535 : 1, 5, 107, 535

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,975,535,942, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

975:3x 5x 5x 13

535:5x 107

942:2x 3x 157

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

3x 5x 5x 13 = 975

Therefore, the value for common factors is 975.

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 = 351330086250/(1x975)

LCM = 351330086250/975

LCM = 360338550

Thus, we can understand that the LCM of 715,975,535,942 is 360338550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 975, 535, 942

1. What is the LCM of 715, 975, 535, 942?

Answer: LCM of 715, 975, 535, 942 is 360338550.

2. How to calculate the LCM of 715, 975, 535, 942?

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, 975, 535, 942.

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}.