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LCM of 980, 610, 110, 341

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


Find the LCM of 980, 610, 110, 341 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, 610, 110, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,610,110,341

Given numbers are 980,610,110,341

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

The LCM of 980,610,110,341 is 20384980.

Find LCM of 980,610,110,341 with Prime Factorization


2 980, 610, 110, 341
5 490, 305, 55, 341
11 98, 61, 11, 341
98, 61, 1, 31

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

2 x 5 x 11 x 98 x 61 x 1 x 31 = 20384980

Therefore, the lowest common multiple of 980,610,110,341 is 20384980.

LCM Formula to Find Lowest Common Multiple of 980,610,110,341

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 610 x 110 x 341 = 22423478000

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

110 : 1, 2, 5, 10, 11, 22, 55, 110

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,610,110,341, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

610:2x 5x 61

110:2x 5x 11

341:11x 31

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 5x 11 = 1100

Therefore, the value for common factors is 1100.

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 = 22423478000/(1x1100)

LCM = 22423478000/1100

LCM = 20384980

Thus, we can understand that the LCM of 980,610,110,341 is 20384980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 610, 110, 341

1. What is the LCM of 980, 610, 110, 341?

Answer: LCM of 980, 610, 110, 341 is 20384980.

2. How to calculate the LCM of 980, 610, 110, 341?

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, 610, 110, 341.

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}.