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LCM of 968, 143, 353, 478

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


Find the LCM of 968, 143, 353, 478 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, 143, 353, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,143,353,478

Given numbers are 968,143,353,478

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

The LCM of 968,143,353,478 is 1061674328.

Find LCM of 968,143,353,478 with Prime Factorization


2 968, 143, 353, 478
11 484, 143, 353, 239
44, 13, 353, 239

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

2 x 11 x 44 x 13 x 353 x 239 = 1061674328

Therefore, the lowest common multiple of 968,143,353,478 is 1061674328.

LCM Formula to Find Lowest Common Multiple of 968,143,353,478

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 143 x 353 x 478 = 23356835216

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

143 : 1, 11, 13, 143

353 : 1, 353

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,143,353,478, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

143:11x 13

353:353

478:2x 239

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 23356835216/(1x22)

LCM = 23356835216/22

LCM = 1061674328

Thus, we can understand that the LCM of 968,143,353,478 is 1061674328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 143, 353, 478

1. What is the LCM of 968, 143, 353, 478?

Answer: LCM of 968, 143, 353, 478 is 1061674328.

2. How to calculate the LCM of 968, 143, 353, 478?

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, 143, 353, 478.

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}.