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LCM of 949, 835, 156, 118

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


Find the LCM of 949, 835, 156, 118 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, 835, 156, 118. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,835,156,118

Given numbers are 949,835,156,118

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

The LCM of 949,835,156,118 is 561029820.

Find LCM of 949,835,156,118 with Prime Factorization


2 949, 835, 156, 118
13 949, 835, 78, 59
73, 835, 6, 59

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

2 x 13 x 73 x 835 x 6 x 59 = 561029820

Therefore, the lowest common multiple of 949,835,156,118 is 561029820.

LCM Formula to Find Lowest Common Multiple of 949,835,156,118

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 835 x 156 x 118 = 14586775320

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

835 : 1, 5, 167, 835

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,835,156,118, is 1.

Now, the common factors can be found like this.

949:13x 73

835:5x 167

156:2x 2x 3x 13

118:2x 59

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 14586775320/(1x26)

LCM = 14586775320/26

LCM = 561029820

Thus, we can understand that the LCM of 949,835,156,118 is 561029820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 835, 156, 118

1. What is the LCM of 949, 835, 156, 118?

Answer: LCM of 949, 835, 156, 118 is 561029820.

2. How to calculate the LCM of 949, 835, 156, 118?

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, 835, 156, 118.

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}.