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LCM of 109, 462, 700, 980

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


Find the LCM of 109, 462, 700, 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 109, 462, 700, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,462,700,980

Given numbers are 109,462,700,980

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

The LCM of 109,462,700,980 is 17625300.

Find LCM of 109,462,700,980 with Prime Factorization


2 109, 462, 700, 980
2 109, 231, 350, 490
5 109, 231, 175, 245
7 109, 231, 35, 49
109, 33, 5, 7

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

2 x 2 x 5 x 7 x 109 x 33 x 5 x 7 = 17625300

Therefore, the lowest common multiple of 109,462,700,980 is 17625300.

LCM Formula to Find Lowest Common Multiple of 109,462,700,980

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.

109 x 462 x 700 x 980 = 34545588000

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.

109 : 1, 109

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 109,462,700,980, is 1.

Now, the common factors can be found like this.

109:109

462:2x 3x 7x 11

700:2x 2x 5x 5x 7

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 2x 5x 7x 7 = 1960

Therefore, the value for common factors is 1960.

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 = 34545588000/(1x1960)

LCM = 34545588000/1960

LCM = 17625300

Thus, we can understand that the LCM of 109,462,700,980 is 17625300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 462, 700, 980

1. What is the LCM of 109, 462, 700, 980?

Answer: LCM of 109, 462, 700, 980 is 17625300.

2. How to calculate the LCM of 109, 462, 700, 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 109, 462, 700, 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}.