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LCM of 127, 119, 762, 256, 143

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


Find the LCM of 127, 119, 762, 256, 143 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 127, 119, 762, 256, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,119,762,256,143

Given numbers are 127,119,762,256,143

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

The LCM of 127,119,762,256,143 is 1659770112.

Find LCM of 127,119,762,256,143 with Prime Factorization


2 127, 119, 762, 256, 143
127 127, 119, 381, 128, 143
1, 119, 3, 128, 143

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

2 x 127 x 1 x 119 x 3 x 128 x 143 = 1659770112

Therefore, the lowest common multiple of 127,119,762,256,143 is 1659770112.

LCM Formula to Find Lowest Common Multiple of 127,119,762,256,143

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.

127 x 119 x 762 x 256 x 143 = 421581608448

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.

127 : 1, 127

119 : 1, 7, 17, 119

762 : 1, 2, 3, 6, 127, 254, 381, 762

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,119,762,256,143, is 1.

Now, the common factors can be found like this.

127:127

119:7x 17

762:2x 3x 127

256:2x 2x 2x 2x 2x 2x 2x 2

143:11x 13

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

2x 127 = 254

Therefore, the value for common factors is 254.

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 = 421581608448/(1x254)

LCM = 421581608448/254

LCM = 1659770112

Thus, we can understand that the LCM of 127,119,762,256,143 is 1659770112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 119, 762, 256, 143

1. What is the LCM of 127, 119, 762, 256, 143?

Answer: LCM of 127, 119, 762, 256, 143 is 1659770112.

2. How to calculate the LCM of 127, 119, 762, 256, 143?

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 127, 119, 762, 256, 143.

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}.