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LCM of 119, 799, 517, 128

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


Find the LCM of 119, 799, 517, 128 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 119, 799, 517, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,799,517,128

Given numbers are 119,799,517,128

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

The LCM of 119,799,517,128 is 7874944.

Find LCM of 119,799,517,128 with Prime Factorization


17 119, 799, 517, 128
47 7, 47, 517, 128
7, 1, 11, 128

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

17 x 47 x 7 x 1 x 11 x 128 = 7874944

Therefore, the lowest common multiple of 119,799,517,128 is 7874944.

LCM Formula to Find Lowest Common Multiple of 119,799,517,128

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.

119 x 799 x 517 x 128 = 6292080256

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.

119 : 1, 7, 17, 119

799 : 1, 17, 47, 799

517 : 1, 11, 47, 517

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,799,517,128, is 1.

Now, the common factors can be found like this.

119:7x 17

799:17x 47

517:11x 47

128:2x 2x 2x 2x 2x 2x 2

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

17x 47 = 799

Therefore, the value for common factors is 799.

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 = 6292080256/(1x799)

LCM = 6292080256/799

LCM = 7874944

Thus, we can understand that the LCM of 119,799,517,128 is 7874944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 799, 517, 128

1. What is the LCM of 119, 799, 517, 128?

Answer: LCM of 119, 799, 517, 128 is 7874944.

2. How to calculate the LCM of 119, 799, 517, 128?

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 119, 799, 517, 128.

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}.