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LCM of 957, 419, 528, 751, 844

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


Find the LCM of 957, 419, 528, 751, 844 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 957, 419, 528, 751, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,419,528,751,844

Given numbers are 957,419,528,751,844

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

The LCM of 957,419,528,751,844 is 1016642674608.

Find LCM of 957,419,528,751,844 with Prime Factorization


2 957, 419, 528, 751, 844
2 957, 419, 264, 751, 422
3 957, 419, 132, 751, 211
11 319, 419, 44, 751, 211
29, 419, 4, 751, 211

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

2 x 2 x 3 x 11 x 29 x 419 x 4 x 751 x 211 = 1016642674608

Therefore, the lowest common multiple of 957,419,528,751,844 is 1016642674608.

LCM Formula to Find Lowest Common Multiple of 957,419,528,751,844

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.

957 x 419 x 528 x 751 x 844 = 134196833048256

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

419 : 1, 419

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

751 : 1, 751

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,419,528,751,844, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

419:419

528:2x 2x 2x 2x 3x 11

751:751

844:2x 2x 211

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 134196833048256/(1x132)

LCM = 134196833048256/132

LCM = 1016642674608

Thus, we can understand that the LCM of 957,419,528,751,844 is 1016642674608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 419, 528, 751, 844

1. What is the LCM of 957, 419, 528, 751, 844?

Answer: LCM of 957, 419, 528, 751, 844 is 1016642674608.

2. How to calculate the LCM of 957, 419, 528, 751, 844?

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 957, 419, 528, 751, 844.

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}.