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LCM of 878, 484, 477, 392, 314

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


Find the LCM of 878, 484, 477, 392, 314 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 878, 484, 477, 392, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,484,477,392,314

Given numbers are 878,484,477,392,314

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

The LCM of 878,484,477,392,314 is 1559387286072.

Find LCM of 878,484,477,392,314 with Prime Factorization


2 878, 484, 477, 392, 314
2 439, 242, 477, 196, 157
439, 121, 477, 98, 157

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

2 x 2 x 439 x 121 x 477 x 98 x 157 = 1559387286072

Therefore, the lowest common multiple of 878,484,477,392,314 is 1559387286072.

LCM Formula to Find Lowest Common Multiple of 878,484,477,392,314

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.

878 x 484 x 477 x 392 x 314 = 24950196577152

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.

878 : 1, 2, 439, 878

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

477 : 1, 3, 9, 53, 159, 477

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,484,477,392,314, is 1.

Now, the common factors can be found like this.

878:2x 439

484:2x 2x 11x 11

477:3x 3x 53

392:2x 2x 2x 7x 7

314:2x 157

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 = 24950196577152/(1x16)

LCM = 24950196577152/16

LCM = 1559387286072

Thus, we can understand that the LCM of 878,484,477,392,314 is 1559387286072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 484, 477, 392, 314

1. What is the LCM of 878, 484, 477, 392, 314?

Answer: LCM of 878, 484, 477, 392, 314 is 1559387286072.

2. How to calculate the LCM of 878, 484, 477, 392, 314?

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 878, 484, 477, 392, 314.

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}.