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LCM of 895, 126, 815, 652

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


Find the LCM of 895, 126, 815, 652 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 895, 126, 815, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,126,815,652

Given numbers are 895,126,815,652

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

The LCM of 895,126,815,652 is 36763020.

Find LCM of 895,126,815,652 with Prime Factorization


2 895, 126, 815, 652
5 895, 63, 815, 326
163 179, 63, 163, 326
179, 63, 1, 2

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

2 x 5 x 163 x 179 x 63 x 1 x 2 = 36763020

Therefore, the lowest common multiple of 895,126,815,652 is 36763020.

LCM Formula to Find Lowest Common Multiple of 895,126,815,652

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.

895 x 126 x 815 x 652 = 59923722600

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.

895 : 1, 5, 179, 895

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

815 : 1, 5, 163, 815

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,126,815,652, is 1.

Now, the common factors can be found like this.

895:5x 179

126:2x 3x 3x 7

815:5x 163

652:2x 2x 163

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

2x 5x 163 = 1630

Therefore, the value for common factors is 1630.

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 = 59923722600/(1x1630)

LCM = 59923722600/1630

LCM = 36763020

Thus, we can understand that the LCM of 895,126,815,652 is 36763020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 126, 815, 652

1. What is the LCM of 895, 126, 815, 652?

Answer: LCM of 895, 126, 815, 652 is 36763020.

2. How to calculate the LCM of 895, 126, 815, 652?

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 895, 126, 815, 652.

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}.