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LCM of 107, 598, 136, 968

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


Find the LCM of 107, 598, 136, 968 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 107, 598, 136, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,598,136,968

Given numbers are 107,598,136,968

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

The LCM of 107,598,136,968 is 526476808.

Find LCM of 107,598,136,968 with Prime Factorization


2 107, 598, 136, 968
2 107, 299, 68, 484
2 107, 299, 34, 242
107, 299, 17, 121

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

2 x 2 x 2 x 107 x 299 x 17 x 121 = 526476808

Therefore, the lowest common multiple of 107,598,136,968 is 526476808.

LCM Formula to Find Lowest Common Multiple of 107,598,136,968

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.

107 x 598 x 136 x 968 = 8423628928

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.

107 : 1, 107

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,598,136,968, is 1.

Now, the common factors can be found like this.

107:107

598:2x 13x 23

136:2x 2x 2x 17

968:2x 2x 2x 11x 11

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 8423628928/(1x16)

LCM = 8423628928/16

LCM = 526476808

Thus, we can understand that the LCM of 107,598,136,968 is 526476808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 598, 136, 968

1. What is the LCM of 107, 598, 136, 968?

Answer: LCM of 107, 598, 136, 968 is 526476808.

2. How to calculate the LCM of 107, 598, 136, 968?

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 107, 598, 136, 968.

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}.