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LCM of 980, 441, 605, 971, 976

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


Find the LCM of 980, 441, 605, 971, 976 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 980, 441, 605, 971, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,441,605,971,976

Given numbers are 980,441,605,971,976

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

The LCM of 980,441,605,971,976 is 252850031280.

Find LCM of 980,441,605,971,976 with Prime Factorization


2 980, 441, 605, 971, 976
2 490, 441, 605, 971, 488
5 245, 441, 605, 971, 244
7 49, 441, 121, 971, 244
7 7, 63, 121, 971, 244
1, 9, 121, 971, 244

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

2 x 2 x 5 x 7 x 7 x 1 x 9 x 121 x 971 x 244 = 252850031280

Therefore, the lowest common multiple of 980,441,605,971,976 is 252850031280.

LCM Formula to Find Lowest Common Multiple of 980,441,605,971,976

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.

980 x 441 x 605 x 971 x 976 = 247793030654400

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.

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

605 : 1, 5, 11, 55, 121, 605

971 : 1, 971

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,441,605,971,976, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

441:3x 3x 7x 7

605:5x 11x 11

971:971

976:2x 2x 2x 2x 61

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 5x 7x 7 = 980

Therefore, the value for common factors is 980.

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 = 247793030654400/(1x980)

LCM = 247793030654400/980

LCM = 252850031280

Thus, we can understand that the LCM of 980,441,605,971,976 is 252850031280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 441, 605, 971, 976

1. What is the LCM of 980, 441, 605, 971, 976?

Answer: LCM of 980, 441, 605, 971, 976 is 252850031280.

2. How to calculate the LCM of 980, 441, 605, 971, 976?

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 980, 441, 605, 971, 976.

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}.