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LCM of 984, 484, 694, 856, 253

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


Find the LCM of 984, 484, 694, 856, 253 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 984, 484, 694, 856, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,484,694,856,253

Given numbers are 984,484,694,856,253

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

The LCM of 984,484,694,856,253 is 101676726888.

Find LCM of 984,484,694,856,253 with Prime Factorization


2 984, 484, 694, 856, 253
2 492, 242, 347, 428, 253
2 246, 121, 347, 214, 253
11 123, 121, 347, 107, 253
123, 11, 347, 107, 23

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

2 x 2 x 2 x 11 x 123 x 11 x 347 x 107 x 23 = 101676726888

Therefore, the lowest common multiple of 984,484,694,856,253 is 101676726888.

LCM Formula to Find Lowest Common Multiple of 984,484,694,856,253

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.

984 x 484 x 694 x 856 x 253 = 71580415729152

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.

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

694 : 1, 2, 347, 694

856 : 1, 2, 4, 8, 107, 214, 428, 856

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,484,694,856,253, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

484:2x 2x 11x 11

694:2x 347

856:2x 2x 2x 107

253:11x 23

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

2x 2x 2x 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 71580415729152/(1x704)

LCM = 71580415729152/704

LCM = 101676726888

Thus, we can understand that the LCM of 984,484,694,856,253 is 101676726888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 484, 694, 856, 253

1. What is the LCM of 984, 484, 694, 856, 253?

Answer: LCM of 984, 484, 694, 856, 253 is 101676726888.

2. How to calculate the LCM of 984, 484, 694, 856, 253?

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 984, 484, 694, 856, 253.

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}.