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LCM of 157, 720, 986, 219, 774

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


Find the LCM of 157, 720, 986, 219, 774 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 157, 720, 986, 219, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,720,986,219,774

Given numbers are 157,720,986,219,774

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

The LCM of 157,720,986,219,774 is 174932452080.

Find LCM of 157,720,986,219,774 with Prime Factorization


2 157, 720, 986, 219, 774
3 157, 360, 493, 219, 387
3 157, 120, 493, 73, 129
157, 40, 493, 73, 43

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

2 x 3 x 3 x 157 x 40 x 493 x 73 x 43 = 174932452080

Therefore, the lowest common multiple of 157,720,986,219,774 is 174932452080.

LCM Formula to Find Lowest Common Multiple of 157,720,986,219,774

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.

157 x 720 x 986 x 219 x 774 = 18892704824640

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.

157 : 1, 157

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

986 : 1, 2, 17, 29, 34, 58, 493, 986

219 : 1, 3, 73, 219

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,720,986,219,774, is 1.

Now, the common factors can be found like this.

157:157

720:2x 2x 2x 2x 3x 3x 5

986:2x 17x 29

219:3x 73

774:2x 3x 3x 43

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 18892704824640/(1x108)

LCM = 18892704824640/108

LCM = 174932452080

Thus, we can understand that the LCM of 157,720,986,219,774 is 174932452080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 720, 986, 219, 774

1. What is the LCM of 157, 720, 986, 219, 774?

Answer: LCM of 157, 720, 986, 219, 774 is 174932452080.

2. How to calculate the LCM of 157, 720, 986, 219, 774?

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 157, 720, 986, 219, 774.

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}.