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LCM of 527, 717, 118, 944

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


Find the LCM of 527, 717, 118, 944 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 527, 717, 118, 944. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,717,118,944

Given numbers are 527,717,118,944

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

The LCM of 527,717,118,944 is 356698896.

Find LCM of 527,717,118,944 with Prime Factorization


2 527, 717, 118, 944
59 527, 717, 59, 472
527, 717, 1, 8

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

2 x 59 x 527 x 717 x 1 x 8 = 356698896

Therefore, the lowest common multiple of 527,717,118,944 is 356698896.

LCM Formula to Find Lowest Common Multiple of 527,717,118,944

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.

527 x 717 x 118 x 944 = 42090469728

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.

527 : 1, 17, 31, 527

717 : 1, 3, 239, 717

118 : 1, 2, 59, 118

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,717,118,944, is 1.

Now, the common factors can be found like this.

527:17x 31

717:3x 239

118:2x 59

944:2x 2x 2x 2x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 42090469728/(1x118)

LCM = 42090469728/118

LCM = 356698896

Thus, we can understand that the LCM of 527,717,118,944 is 356698896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 717, 118, 944

1. What is the LCM of 527, 717, 118, 944?

Answer: LCM of 527, 717, 118, 944 is 356698896.

2. How to calculate the LCM of 527, 717, 118, 944?

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 527, 717, 118, 944.

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}.