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LCM of 961, 578, 484, 980

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


Find the LCM of 961, 578, 484, 980 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 961, 578, 484, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,578,484,980

Given numbers are 961,578,484,980

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

The LCM of 961,578,484,980 is 32933104820.

Find LCM of 961,578,484,980 with Prime Factorization


2 961, 578, 484, 980
2 961, 289, 242, 490
961, 289, 121, 245

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

2 x 2 x 961 x 289 x 121 x 245 = 32933104820

Therefore, the lowest common multiple of 961,578,484,980 is 32933104820.

LCM Formula to Find Lowest Common Multiple of 961,578,484,980

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.

961 x 578 x 484 x 980 = 263464838560

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.

961 : 1, 31, 961

578 : 1, 2, 17, 34, 289, 578

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

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,578,484,980, is 1.

Now, the common factors can be found like this.

961:31x 31

578:2x 17x 17

484:2x 2x 11x 11

980:2x 2x 5x 7x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 263464838560/(1x8)

LCM = 263464838560/8

LCM = 32933104820

Thus, we can understand that the LCM of 961,578,484,980 is 32933104820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 578, 484, 980

1. What is the LCM of 961, 578, 484, 980?

Answer: LCM of 961, 578, 484, 980 is 32933104820.

2. How to calculate the LCM of 961, 578, 484, 980?

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 961, 578, 484, 980.

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}.