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LCM of 377, 159, 117, 975

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


Find the LCM of 377, 159, 117, 975 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 377, 159, 117, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,159,117,975

Given numbers are 377,159,117,975

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

The LCM of 377,159,117,975 is 4495725.

Find LCM of 377,159,117,975 with Prime Factorization


3 377, 159, 117, 975
13 377, 53, 39, 325
29, 53, 3, 25

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

3 x 13 x 29 x 53 x 3 x 25 = 4495725

Therefore, the lowest common multiple of 377,159,117,975 is 4495725.

LCM Formula to Find Lowest Common Multiple of 377,159,117,975

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.

377 x 159 x 117 x 975 = 6837997725

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.

377 : 1, 13, 29, 377

159 : 1, 3, 53, 159

117 : 1, 3, 9, 13, 39, 117

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,159,117,975, is 1.

Now, the common factors can be found like this.

377:13x 29

159:3x 53

117:3x 3x 13

975:3x 5x 5x 13

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

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 6837997725/(1x1521)

LCM = 6837997725/1521

LCM = 4495725

Thus, we can understand that the LCM of 377,159,117,975 is 4495725.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 159, 117, 975

1. What is the LCM of 377, 159, 117, 975?

Answer: LCM of 377, 159, 117, 975 is 4495725.

2. How to calculate the LCM of 377, 159, 117, 975?

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 377, 159, 117, 975.

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}.