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LCM of 968, 111, 187, 357, 617

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


Find the LCM of 968, 111, 187, 357, 617 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 968, 111, 187, 357, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,111,187,357,617

Given numbers are 968,111,187,357,617

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

The LCM of 968,111,187,357,617 is 7889154504.

Find LCM of 968,111,187,357,617 with Prime Factorization


3 968, 111, 187, 357, 617
11 968, 37, 187, 119, 617
17 88, 37, 17, 119, 617
88, 37, 1, 7, 617

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

3 x 11 x 17 x 88 x 37 x 1 x 7 x 617 = 7889154504

Therefore, the lowest common multiple of 968,111,187,357,617 is 7889154504.

LCM Formula to Find Lowest Common Multiple of 968,111,187,357,617

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.

968 x 111 x 187 x 357 x 617 = 4425815676744

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.

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

111 : 1, 3, 37, 111

187 : 1, 11, 17, 187

357 : 1, 3, 7, 17, 21, 51, 119, 357

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,111,187,357,617, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

111:3x 37

187:11x 17

357:3x 7x 17

617:617

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

3x 11x 17 = 561

Therefore, the value for common factors is 561.

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 = 4425815676744/(1x561)

LCM = 4425815676744/561

LCM = 7889154504

Thus, we can understand that the LCM of 968,111,187,357,617 is 7889154504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 111, 187, 357, 617

1. What is the LCM of 968, 111, 187, 357, 617?

Answer: LCM of 968, 111, 187, 357, 617 is 7889154504.

2. How to calculate the LCM of 968, 111, 187, 357, 617?

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 968, 111, 187, 357, 617.

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}.