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LCM of 254, 517, 760

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


Find the LCM of 254, 517, 760 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 254, 517, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,517,760

Given numbers are 254,517,760

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

The LCM of 254,517,760 is 49900840.

Find LCM of 254,517,760 with Prime Factorization


2 254, 517, 760
127, 517, 380

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

2 x 127 x 517 x 380 = 49900840

Therefore, the lowest common multiple of 254,517,760 is 49900840.

LCM Formula to Find Lowest Common Multiple of 254,517,760

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.

254 x 517 x 760 = 99801680

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.

254 : 1, 2, 127, 254

517 : 1, 11, 47, 517

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,517,760, is 1.

Now, the common factors can be found like this.

254:2x 127

517:11x 47

760:2x 2x 2x 5x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 99801680/(1x2)

LCM = 99801680/2

LCM = 49900840

Thus, we can understand that the LCM of 254,517,760 is 49900840.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 254, 517, 760

1. What is the LCM of 254, 517, 760?

Answer: LCM of 254, 517, 760 is 49900840.

2. How to calculate the LCM of 254, 517, 760?

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 254, 517, 760.

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}.