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LCM of 949, 949, 362, 279

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


Find the LCM of 949, 949, 362, 279 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, 949, 362, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,949,362,279

Given numbers are 949,949,362,279

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

The LCM of 949,949,362,279 is 95847102.

Find LCM of 949,949,362,279 with Prime Factorization


13 949, 949, 362, 279
73 73, 73, 362, 279
1, 1, 362, 279

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

13 x 73 x 1 x 1 x 362 x 279 = 95847102

Therefore, the lowest common multiple of 949,949,362,279 is 95847102.

LCM Formula to Find Lowest Common Multiple of 949,949,362,279

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 949 x 362 x 279 = 90958899798

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

949 : 1, 13, 73, 949

362 : 1, 2, 181, 362

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,949,362,279, is 1.

Now, the common factors can be found like this.

949:13x 73

949:13x 73

362:2x 181

279:3x 3x 31

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 = 90958899798/(1x949)

LCM = 90958899798/949

LCM = 95847102

Thus, we can understand that the LCM of 949,949,362,279 is 95847102.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 949, 362, 279

1. What is the LCM of 949, 949, 362, 279?

Answer: LCM of 949, 949, 362, 279 is 95847102.

2. How to calculate the LCM of 949, 949, 362, 279?

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, 949, 362, 279.

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}.