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LCM of 950, 101, 914, 312

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


Find the LCM of 950, 101, 914, 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 950, 101, 914, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,101,914,312

Given numbers are 950,101,914,312

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

The LCM of 950,101,914,312 is 6840467400.

Find LCM of 950,101,914,312 with Prime Factorization


2 950, 101, 914, 312
475, 101, 457, 156

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

2 x 475 x 101 x 457 x 156 = 6840467400

Therefore, the lowest common multiple of 950,101,914,312 is 6840467400.

LCM Formula to Find Lowest Common Multiple of 950,101,914,312

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.

950 x 101 x 914 x 312 = 27361869600

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.

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

101 : 1, 101

914 : 1, 2, 457, 914

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 950,101,914,312, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

101:101

914:2x 457

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 2 = 4

Therefore, the value for common factors is 4.

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 = 27361869600/(1x4)

LCM = 27361869600/4

LCM = 6840467400

Thus, we can understand that the LCM of 950,101,914,312 is 6840467400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 101, 914, 312

1. What is the LCM of 950, 101, 914, 312?

Answer: LCM of 950, 101, 914, 312 is 6840467400.

2. How to calculate the LCM of 950, 101, 914, 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 950, 101, 914, 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}.