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LCM of 119, 665, 637, 391, 168

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


Find the LCM of 119, 665, 637, 391, 168 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 119, 665, 637, 391, 168. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,665,637,391,168

Given numbers are 119,665,637,391,168

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

The LCM of 119,665,637,391,168 is 567872760.

Find LCM of 119,665,637,391,168 with Prime Factorization


7 119, 665, 637, 391, 168
17 17, 95, 91, 391, 24
1, 95, 91, 23, 24

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

7 x 17 x 1 x 95 x 91 x 23 x 24 = 567872760

Therefore, the lowest common multiple of 119,665,637,391,168 is 567872760.

LCM Formula to Find Lowest Common Multiple of 119,665,637,391,168

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.

119 x 665 x 637 x 391 x 168 = 3311266063560

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.

119 : 1, 7, 17, 119

665 : 1, 5, 7, 19, 35, 95, 133, 665

637 : 1, 7, 13, 49, 91, 637

391 : 1, 17, 23, 391

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,665,637,391,168, is 1.

Now, the common factors can be found like this.

119:7x 17

665:5x 7x 19

637:7x 7x 13

391:17x 23

168:2x 2x 2x 3x 7

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

7x 7x 7x 17 = 5831

Therefore, the value for common factors is 5831.

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 = 3311266063560/(1x5831)

LCM = 3311266063560/5831

LCM = 567872760

Thus, we can understand that the LCM of 119,665,637,391,168 is 567872760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 665, 637, 391, 168

1. What is the LCM of 119, 665, 637, 391, 168?

Answer: LCM of 119, 665, 637, 391, 168 is 567872760.

2. How to calculate the LCM of 119, 665, 637, 391, 168?

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 119, 665, 637, 391, 168.

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}.