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LCM of 196, 987, 798, 915, 109

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


Find the LCM of 196, 987, 798, 915, 109 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 196, 987, 798, 915, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 196,987,798,915,109

Given numbers are 196,987,798,915,109

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

The LCM of 196,987,798,915,109 is 17456417580.

Find LCM of 196,987,798,915,109 with Prime Factorization


2 196, 987, 798, 915, 109
3 98, 987, 399, 915, 109
7 98, 329, 133, 305, 109
14, 47, 19, 305, 109

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

2 x 3 x 7 x 14 x 47 x 19 x 305 x 109 = 17456417580

Therefore, the lowest common multiple of 196,987,798,915,109 is 17456417580.

LCM Formula to Find Lowest Common Multiple of 196,987,798,915,109

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.

196 x 987 x 798 x 915 x 109 = 15396560305560

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.

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

987 : 1, 3, 7, 21, 47, 141, 329, 987

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

915 : 1, 3, 5, 15, 61, 183, 305, 915

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,987,798,915,109, is 1.

Now, the common factors can be found like this.

196:2x 2x 7x 7

987:3x 7x 47

798:2x 3x 7x 19

915:3x 5x 61

109:109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 15396560305560/(1x882)

LCM = 15396560305560/882

LCM = 17456417580

Thus, we can understand that the LCM of 196,987,798,915,109 is 17456417580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 196, 987, 798, 915, 109

1. What is the LCM of 196, 987, 798, 915, 109?

Answer: LCM of 196, 987, 798, 915, 109 is 17456417580.

2. How to calculate the LCM of 196, 987, 798, 915, 109?

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 196, 987, 798, 915, 109.

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}.