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LCM of 754, 460, 684, 778, 116

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


Find the LCM of 754, 460, 684, 778, 116 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 754, 460, 684, 778, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,460,684,778,116

Given numbers are 754,460,684,778,116

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

The LCM of 754,460,684,778,116 is 11535724980.

Find LCM of 754,460,684,778,116 with Prime Factorization


2 754, 460, 684, 778, 116
2 377, 230, 342, 389, 58
29 377, 115, 171, 389, 29
13, 115, 171, 389, 1

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

2 x 2 x 29 x 13 x 115 x 171 x 389 x 1 = 11535724980

Therefore, the lowest common multiple of 754,460,684,778,116 is 11535724980.

LCM Formula to Find Lowest Common Multiple of 754,460,684,778,116

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.

754 x 460 x 684 x 778 x 116 = 21410305562880

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

778 : 1, 2, 389, 778

116 : 1, 2, 4, 29, 58, 116

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,460,684,778,116, is 2.

Now, the common factors can be found like this.

754:2x 13x 29

460:2x 2x 5x 23

684:2x 2x 3x 3x 19

778:2x 389

116:2x 2x 29

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 2x 2x 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 21410305562880/(2x928)

LCM = 21410305562880/1856

LCM = 11535724980

Thus, we can understand that the LCM of 754,460,684,778,116 is 11535724980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 460, 684, 778, 116

1. What is the LCM of 754, 460, 684, 778, 116?

Answer: LCM of 754, 460, 684, 778, 116 is 11535724980.

2. How to calculate the LCM of 754, 460, 684, 778, 116?

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 754, 460, 684, 778, 116.

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}.