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LCM of 767, 590, 678, 266, 117

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


Find the LCM of 767, 590, 678, 266, 117 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 767, 590, 678, 266, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,590,678,266,117

Given numbers are 767,590,678,266,117

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

The LCM of 767,590,678,266,117 is 1037451870.

Find LCM of 767,590,678,266,117 with Prime Factorization


2 767, 590, 678, 266, 117
3 767, 295, 339, 133, 117
13 767, 295, 113, 133, 39
59 59, 295, 113, 133, 3
1, 5, 113, 133, 3

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

2 x 3 x 13 x 59 x 1 x 5 x 113 x 133 x 3 = 1037451870

Therefore, the lowest common multiple of 767,590,678,266,117 is 1037451870.

LCM Formula to Find Lowest Common Multiple of 767,590,678,266,117

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.

767 x 590 x 678 x 266 x 117 = 9548707011480

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.

767 : 1, 13, 59, 767

590 : 1, 2, 5, 10, 59, 118, 295, 590

678 : 1, 2, 3, 6, 113, 226, 339, 678

266 : 1, 2, 7, 14, 19, 38, 133, 266

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,590,678,266,117, is 1.

Now, the common factors can be found like this.

767:13x 59

590:2x 5x 59

678:2x 3x 113

266:2x 7x 19

117:3x 3x 13

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 13x 59 = 9204

Therefore, the value for common factors is 9204.

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 = 9548707011480/(1x9204)

LCM = 9548707011480/9204

LCM = 1037451870

Thus, we can understand that the LCM of 767,590,678,266,117 is 1037451870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 590, 678, 266, 117

1. What is the LCM of 767, 590, 678, 266, 117?

Answer: LCM of 767, 590, 678, 266, 117 is 1037451870.

2. How to calculate the LCM of 767, 590, 678, 266, 117?

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 767, 590, 678, 266, 117.

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}.