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LCM of 476, 520, 986, 312

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


Find the LCM of 476, 520, 986, 312 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 476, 520, 986, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,520,986,312

Given numbers are 476,520,986,312

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

The LCM of 476,520,986,312 is 5383560.

Find LCM of 476,520,986,312 with Prime Factorization


2 476, 520, 986, 312
2 238, 260, 493, 156
2 119, 130, 493, 78
13 119, 65, 493, 39
17 119, 5, 493, 3
7, 5, 29, 3

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

2 x 2 x 2 x 13 x 17 x 7 x 5 x 29 x 3 = 5383560

Therefore, the lowest common multiple of 476,520,986,312 is 5383560.

LCM Formula to Find Lowest Common Multiple of 476,520,986,312

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.

476 x 520 x 986 x 312 = 76145072640

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

986 : 1, 2, 17, 29, 34, 58, 493, 986

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,520,986,312, is 2.

Now, the common factors can be found like this.

476:2x 2x 7x 17

520:2x 2x 2x 5x 13

986:2x 17x 29

312:2x 2x 2x 3x 13

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 13x 17 = 7072

Therefore, the value for common factors is 7072.

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 = 76145072640/(2x7072)

LCM = 76145072640/14144

LCM = 5383560

Thus, we can understand that the LCM of 476,520,986,312 is 5383560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 520, 986, 312

1. What is the LCM of 476, 520, 986, 312?

Answer: LCM of 476, 520, 986, 312 is 5383560.

2. How to calculate the LCM of 476, 520, 986, 312?

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 476, 520, 986, 312.

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}.