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LCM of 968, 484, 594, 385

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


Find the LCM of 968, 484, 594, 385 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 968, 484, 594, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,484,594,385

Given numbers are 968,484,594,385

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

The LCM of 968,484,594,385 is 914760.

Find LCM of 968,484,594,385 with Prime Factorization


2 968, 484, 594, 385
2 484, 242, 297, 385
11 121, 242, 297, 385
11 11, 22, 27, 35
1, 2, 27, 35

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

2 x 2 x 11 x 11 x 1 x 2 x 27 x 35 = 914760

Therefore, the lowest common multiple of 968,484,594,385 is 914760.

LCM Formula to Find Lowest Common Multiple of 968,484,594,385

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.

968 x 484 x 594 x 385 = 107144009280

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

385 : 1, 5, 7, 11, 35, 55, 77, 385

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,484,594,385, is 11.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

484:2x 2x 11x 11

594:2x 3x 3x 3x 11

385:5x 7x 11

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 11x 11x 11 = 10648

Therefore, the value for common factors is 10648.

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 = 107144009280/(11x10648)

LCM = 107144009280/117128

LCM = 914760

Thus, we can understand that the LCM of 968,484,594,385 is 914760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 484, 594, 385

1. What is the LCM of 968, 484, 594, 385?

Answer: LCM of 968, 484, 594, 385 is 914760.

2. How to calculate the LCM of 968, 484, 594, 385?

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 968, 484, 594, 385.

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}.