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LCM of 949, 294, 766, 126

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


Find the LCM of 949, 294, 766, 126 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, 294, 766, 126. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,294,766,126

Given numbers are 949,294,766,126

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

The LCM of 949,294,766,126 is 320577894.

Find LCM of 949,294,766,126 with Prime Factorization


2 949, 294, 766, 126
3 949, 147, 383, 63
7 949, 49, 383, 21
949, 7, 383, 3

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

2 x 3 x 7 x 949 x 7 x 383 x 3 = 320577894

Therefore, the lowest common multiple of 949,294,766,126 is 320577894.

LCM Formula to Find Lowest Common Multiple of 949,294,766,126

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 294 x 766 x 126 = 26928543096

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

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

766 : 1, 2, 383, 766

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,294,766,126, is 1.

Now, the common factors can be found like this.

949:13x 73

294:2x 3x 7x 7

766:2x 383

126:2x 3x 3x 7

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 26928543096/(1x84)

LCM = 26928543096/84

LCM = 320577894

Thus, we can understand that the LCM of 949,294,766,126 is 320577894.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 294, 766, 126

1. What is the LCM of 949, 294, 766, 126?

Answer: LCM of 949, 294, 766, 126 is 320577894.

2. How to calculate the LCM of 949, 294, 766, 126?

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, 294, 766, 126.

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}.