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LCM of 949, 693, 143, 878

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


Find the LCM of 949, 693, 143, 878 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, 693, 143, 878. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,693,143,878

Given numbers are 949,693,143,878

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

The LCM of 949,693,143,878 is 577422846.

Find LCM of 949,693,143,878 with Prime Factorization


11 949, 693, 143, 878
13 949, 63, 13, 878
73, 63, 1, 878

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

11 x 13 x 73 x 63 x 1 x 878 = 577422846

Therefore, the lowest common multiple of 949,693,143,878 is 577422846.

LCM Formula to Find Lowest Common Multiple of 949,693,143,878

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 693 x 143 x 878 = 82571466978

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

143 : 1, 11, 13, 143

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,693,143,878, is 1.

Now, the common factors can be found like this.

949:13x 73

693:3x 3x 7x 11

143:11x 13

878:2x 439

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 82571466978/(1x143)

LCM = 82571466978/143

LCM = 577422846

Thus, we can understand that the LCM of 949,693,143,878 is 577422846.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 693, 143, 878

1. What is the LCM of 949, 693, 143, 878?

Answer: LCM of 949, 693, 143, 878 is 577422846.

2. How to calculate the LCM of 949, 693, 143, 878?

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, 693, 143, 878.

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}.