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LCM of 862, 388, 248, 953

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


Find the LCM of 862, 388, 248, 953 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 862, 388, 248, 953. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,388,248,953

Given numbers are 862,388,248,953

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

The LCM of 862,388,248,953 is 9880833608.

Find LCM of 862,388,248,953 with Prime Factorization


2 862, 388, 248, 953
2 431, 194, 124, 953
431, 97, 62, 953

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

2 x 2 x 431 x 97 x 62 x 953 = 9880833608

Therefore, the lowest common multiple of 862,388,248,953 is 9880833608.

LCM Formula to Find Lowest Common Multiple of 862,388,248,953

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.

862 x 388 x 248 x 953 = 79046668864

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.

862 : 1, 2, 431, 862

388 : 1, 2, 4, 97, 194, 388

248 : 1, 2, 4, 8, 31, 62, 124, 248

953 : 1, 953

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,388,248,953, is 1.

Now, the common factors can be found like this.

862:2x 431

388:2x 2x 97

248:2x 2x 2x 31

953:953

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 79046668864/(1x8)

LCM = 79046668864/8

LCM = 9880833608

Thus, we can understand that the LCM of 862,388,248,953 is 9880833608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 388, 248, 953

1. What is the LCM of 862, 388, 248, 953?

Answer: LCM of 862, 388, 248, 953 is 9880833608.

2. How to calculate the LCM of 862, 388, 248, 953?

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 862, 388, 248, 953.

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}.