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LCM of 872, 598, 931, 895, 734

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


Find the LCM of 872, 598, 931, 895, 734 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 872, 598, 931, 895, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,598,931,895,734

Given numbers are 872,598,931,895,734

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

The LCM of 872,598,931,895,734 is 79730860966120.

Find LCM of 872,598,931,895,734 with Prime Factorization


2 872, 598, 931, 895, 734
436, 299, 931, 895, 367

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

2 x 436 x 299 x 931 x 895 x 367 = 79730860966120

Therefore, the lowest common multiple of 872,598,931,895,734 is 79730860966120.

LCM Formula to Find Lowest Common Multiple of 872,598,931,895,734

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.

872 x 598 x 931 x 895 x 734 = 318923443864480

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

598 : 1, 2, 13, 23, 26, 46, 299, 598

931 : 1, 7, 19, 49, 133, 931

895 : 1, 5, 179, 895

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,598,931,895,734, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

598:2x 13x 23

931:7x 7x 19

895:5x 179

734:2x 367

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 318923443864480/(1x4)

LCM = 318923443864480/4

LCM = 79730860966120

Thus, we can understand that the LCM of 872,598,931,895,734 is 79730860966120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 598, 931, 895, 734

1. What is the LCM of 872, 598, 931, 895, 734?

Answer: LCM of 872, 598, 931, 895, 734 is 79730860966120.

2. How to calculate the LCM of 872, 598, 931, 895, 734?

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 872, 598, 931, 895, 734.

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}.