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LCM of 786, 167, 650, 745, 663

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


Find the LCM of 786, 167, 650, 745, 663 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 786, 167, 650, 745, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 786,167,650,745,663

Given numbers are 786,167,650,745,663

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

The LCM of 786,167,650,745,663 is 108058159950.

Find LCM of 786,167,650,745,663 with Prime Factorization


2 786, 167, 650, 745, 663
3 393, 167, 325, 745, 663
5 131, 167, 325, 745, 221
13 131, 167, 65, 149, 221
131, 167, 5, 149, 17

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

2 x 3 x 5 x 13 x 131 x 167 x 5 x 149 x 17 = 108058159950

Therefore, the lowest common multiple of 786,167,650,745,663 is 108058159950.

LCM Formula to Find Lowest Common Multiple of 786,167,650,745,663

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.

786 x 167 x 650 x 745 x 663 = 42142682380500

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

167 : 1, 167

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

745 : 1, 5, 149, 745

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,167,650,745,663, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

167:167

650:2x 5x 5x 13

745:5x 149

663:3x 13x 17

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 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 42142682380500/(1x390)

LCM = 42142682380500/390

LCM = 108058159950

Thus, we can understand that the LCM of 786,167,650,745,663 is 108058159950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 786, 167, 650, 745, 663

1. What is the LCM of 786, 167, 650, 745, 663?

Answer: LCM of 786, 167, 650, 745, 663 is 108058159950.

2. How to calculate the LCM of 786, 167, 650, 745, 663?

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 786, 167, 650, 745, 663.

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}.