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LCM of 943, 968, 478, 360, 876

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


Find the LCM of 943, 968, 478, 360, 876 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 943, 968, 478, 360, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,968,478,360,876

Given numbers are 943,968,478,360,876

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

The LCM of 943,968,478,360,876 is 716671814760.

Find LCM of 943,968,478,360,876 with Prime Factorization


2 943, 968, 478, 360, 876
2 943, 484, 239, 180, 438
2 943, 242, 239, 90, 219
3 943, 121, 239, 45, 219
943, 121, 239, 15, 73

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

2 x 2 x 2 x 3 x 943 x 121 x 239 x 15 x 73 = 716671814760

Therefore, the lowest common multiple of 943,968,478,360,876 is 716671814760.

LCM Formula to Find Lowest Common Multiple of 943,968,478,360,876

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.

943 x 968 x 478 x 360 x 876 = 137600988433920

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.

943 : 1, 23, 41, 943

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

478 : 1, 2, 239, 478

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,968,478,360,876, is 1.

Now, the common factors can be found like this.

943:23x 41

968:2x 2x 2x 11x 11

478:2x 239

360:2x 2x 2x 3x 3x 5

876:2x 2x 3x 73

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 137600988433920/(1x192)

LCM = 137600988433920/192

LCM = 716671814760

Thus, we can understand that the LCM of 943,968,478,360,876 is 716671814760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 968, 478, 360, 876

1. What is the LCM of 943, 968, 478, 360, 876?

Answer: LCM of 943, 968, 478, 360, 876 is 716671814760.

2. How to calculate the LCM of 943, 968, 478, 360, 876?

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 943, 968, 478, 360, 876.

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}.