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LCM of 312, 209, 953, 893

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


Find the LCM of 312, 209, 953, 893 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 312, 209, 953, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,209,953,893

Given numbers are 312,209,953,893

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

The LCM of 312,209,953,893 is 2920731528.

Find LCM of 312,209,953,893 with Prime Factorization


19 312, 209, 953, 893
312, 11, 953, 47

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

19 x 312 x 11 x 953 x 47 = 2920731528

Therefore, the lowest common multiple of 312,209,953,893 is 2920731528.

LCM Formula to Find Lowest Common Multiple of 312,209,953,893

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.

312 x 209 x 953 x 893 = 55493899032

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.

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

209 : 1, 11, 19, 209

953 : 1, 953

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,209,953,893, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

209:11x 19

953:953

893:19x 47

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

19 = 19

Therefore, the value for common factors is 19.

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 = 55493899032/(1x19)

LCM = 55493899032/19

LCM = 2920731528

Thus, we can understand that the LCM of 312,209,953,893 is 2920731528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 209, 953, 893

1. What is the LCM of 312, 209, 953, 893?

Answer: LCM of 312, 209, 953, 893 is 2920731528.

2. How to calculate the LCM of 312, 209, 953, 893?

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 312, 209, 953, 893.

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}.