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LCM of 253, 517, 984, 410

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


Find the LCM of 253, 517, 984, 410 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 253, 517, 984, 410. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,517,984,410

Given numbers are 253,517,984,410

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

The LCM of 253,517,984,410 is 58503720.

Find LCM of 253,517,984,410 with Prime Factorization


2 253, 517, 984, 410
11 253, 517, 492, 205
41 23, 47, 492, 205
23, 47, 12, 5

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

2 x 11 x 41 x 23 x 47 x 12 x 5 = 58503720

Therefore, the lowest common multiple of 253,517,984,410 is 58503720.

LCM Formula to Find Lowest Common Multiple of 253,517,984,410

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.

253 x 517 x 984 x 410 = 52770355440

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.

253 : 1, 11, 23, 253

517 : 1, 11, 47, 517

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,517,984,410, is 1.

Now, the common factors can be found like this.

253:11x 23

517:11x 47

984:2x 2x 2x 3x 41

410:2x 5x 41

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

2x 11x 41 = 902

Therefore, the value for common factors is 902.

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 = 52770355440/(1x902)

LCM = 52770355440/902

LCM = 58503720

Thus, we can understand that the LCM of 253,517,984,410 is 58503720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 517, 984, 410

1. What is the LCM of 253, 517, 984, 410?

Answer: LCM of 253, 517, 984, 410 is 58503720.

2. How to calculate the LCM of 253, 517, 984, 410?

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 253, 517, 984, 410.

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}.