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LCM of 706, 949, 949, 119

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


Find the LCM of 706, 949, 949, 119 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 706, 949, 949, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,949,949,119

Given numbers are 706,949,949,119

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

The LCM of 706,949,949,119 is 79729286.

Find LCM of 706,949,949,119 with Prime Factorization


13 706, 949, 949, 119
73 706, 73, 73, 119
706, 1, 1, 119

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

13 x 73 x 706 x 1 x 1 x 119 = 79729286

Therefore, the lowest common multiple of 706,949,949,119 is 79729286.

LCM Formula to Find Lowest Common Multiple of 706,949,949,119

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.

706 x 949 x 949 x 119 = 75663092414

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.

706 : 1, 2, 353, 706

949 : 1, 13, 73, 949

949 : 1, 13, 73, 949

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,949,949,119, is 1.

Now, the common factors can be found like this.

706:2x 353

949:13x 73

949:13x 73

119:7x 17

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 = 75663092414/(1x949)

LCM = 75663092414/949

LCM = 79729286

Thus, we can understand that the LCM of 706,949,949,119 is 79729286.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 949, 949, 119

1. What is the LCM of 706, 949, 949, 119?

Answer: LCM of 706, 949, 949, 119 is 79729286.

2. How to calculate the LCM of 706, 949, 949, 119?

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 706, 949, 949, 119.

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}.