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LCM of 959, 422, 844, 758

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


Find the LCM of 959, 422, 844, 758 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 959, 422, 844, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 959,422,844,758

Given numbers are 959,422,844,758

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

The LCM of 959,422,844,758 is 306761084.

Find LCM of 959,422,844,758 with Prime Factorization


2 959, 422, 844, 758
211 959, 211, 422, 379
959, 1, 2, 379

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

2 x 211 x 959 x 1 x 2 x 379 = 306761084

Therefore, the lowest common multiple of 959,422,844,758 is 306761084.

LCM Formula to Find Lowest Common Multiple of 959,422,844,758

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.

959 x 422 x 844 x 758 = 258906354896

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.

959 : 1, 7, 137, 959

422 : 1, 2, 211, 422

844 : 1, 2, 4, 211, 422, 844

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,422,844,758, is 1.

Now, the common factors can be found like this.

959:7x 137

422:2x 211

844:2x 2x 211

758:2x 379

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 211 = 844

Therefore, the value for common factors is 844.

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 = 258906354896/(1x844)

LCM = 258906354896/844

LCM = 306761084

Thus, we can understand that the LCM of 959,422,844,758 is 306761084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 959, 422, 844, 758

1. What is the LCM of 959, 422, 844, 758?

Answer: LCM of 959, 422, 844, 758 is 306761084.

2. How to calculate the LCM of 959, 422, 844, 758?

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 959, 422, 844, 758.

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}.