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LCM of 902, 676, 953, 312

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


Find the LCM of 902, 676, 953, 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 902, 676, 953, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,676,953,312

Given numbers are 902,676,953,312

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

The LCM of 902,676,953,312 is 1743280968.

Find LCM of 902,676,953,312 with Prime Factorization


2 902, 676, 953, 312
2 451, 338, 953, 156
13 451, 169, 953, 78
451, 13, 953, 6

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

2 x 2 x 13 x 451 x 13 x 953 x 6 = 1743280968

Therefore, the lowest common multiple of 902,676,953,312 is 1743280968.

LCM Formula to Find Lowest Common Multiple of 902,676,953,312

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.

902 x 676 x 953 x 312 = 181301220672

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

953 : 1, 953

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,676,953,312, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

676:2x 2x 13x 13

953:953

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 13 = 104

Therefore, the value for common factors is 104.

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 = 181301220672/(1x104)

LCM = 181301220672/104

LCM = 1743280968

Thus, we can understand that the LCM of 902,676,953,312 is 1743280968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 676, 953, 312

1. What is the LCM of 902, 676, 953, 312?

Answer: LCM of 902, 676, 953, 312 is 1743280968.

2. How to calculate the LCM of 902, 676, 953, 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 902, 676, 953, 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}.