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LCM of 691, 724, 872, 987

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


Find the LCM of 691, 724, 872, 987 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 691, 724, 872, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 691,724,872,987

Given numbers are 691,724,872,987

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

The LCM of 691,724,872,987 is 107644107144.

Find LCM of 691,724,872,987 with Prime Factorization


2 691, 724, 872, 987
2 691, 362, 436, 987
691, 181, 218, 987

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

2 x 2 x 691 x 181 x 218 x 987 = 107644107144

Therefore, the lowest common multiple of 691,724,872,987 is 107644107144.

LCM Formula to Find Lowest Common Multiple of 691,724,872,987

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.

691 x 724 x 872 x 987 = 430576428576

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.

691 : 1, 691

724 : 1, 2, 4, 181, 362, 724

872 : 1, 2, 4, 8, 109, 218, 436, 872

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,724,872,987, is 1.

Now, the common factors can be found like this.

691:691

724:2x 2x 181

872:2x 2x 2x 109

987:3x 7x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 430576428576/(1x4)

LCM = 430576428576/4

LCM = 107644107144

Thus, we can understand that the LCM of 691,724,872,987 is 107644107144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 691, 724, 872, 987

1. What is the LCM of 691, 724, 872, 987?

Answer: LCM of 691, 724, 872, 987 is 107644107144.

2. How to calculate the LCM of 691, 724, 872, 987?

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 691, 724, 872, 987.

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}.