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LCM of 949, 718, 949

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


Find the LCM of 949, 718, 949 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 949, 718, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,718,949

Given numbers are 949,718,949

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

The LCM of 949,718,949 is 681382.

Find LCM of 949,718,949 with Prime Factorization


13 949, 718, 949
73 73, 718, 73
1, 718, 1

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

13 x 73 x 1 x 718 x 1 = 681382

Therefore, the lowest common multiple of 949,718,949 is 681382.

LCM Formula to Find Lowest Common Multiple of 949,718,949

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.

949 x 718 x 949 = 646631518

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.

949 : 1, 13, 73, 949

718 : 1, 2, 359, 718

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,718,949, is 1.

Now, the common factors can be found like this.

949:13x 73

718:2x 359

949:13x 73

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

13x 73 = 949

Therefore, the value for common factors is 949.

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 = 646631518/(1x949)

LCM = 646631518/949

LCM = 681382

Thus, we can understand that the LCM of 949,718,949 is 681382.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 949, 718, 949

1. What is the LCM of 949, 718, 949?

Answer: LCM of 949, 718, 949 is 681382.

2. How to calculate the LCM of 949, 718, 949?

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 949, 718, 949.

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}.