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LCM of 171, 506, 684, 472, 138

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


Find the LCM of 171, 506, 684, 472, 138 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 171, 506, 684, 472, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 171,506,684,472,138

Given numbers are 171,506,684,472,138

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

The LCM of 171,506,684,472,138 is 20420136.

Find LCM of 171,506,684,472,138 with Prime Factorization


2 171, 506, 684, 472, 138
2 171, 253, 342, 236, 69
3 171, 253, 171, 118, 69
3 57, 253, 57, 118, 23
19 19, 253, 19, 118, 23
23 1, 253, 1, 118, 23
1, 11, 1, 118, 1

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

2 x 2 x 3 x 3 x 19 x 23 x 1 x 11 x 1 x 118 x 1 = 20420136

Therefore, the lowest common multiple of 171,506,684,472,138 is 20420136.

LCM Formula to Find Lowest Common Multiple of 171,506,684,472,138

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.

171 x 506 x 684 x 472 x 138 = 3854994954624

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.

171 : 1, 3, 9, 19, 57, 171

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,506,684,472,138, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

506:2x 11x 23

684:2x 2x 3x 3x 19

472:2x 2x 2x 59

138:2x 3x 23

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 3x 3x 3x 19x 23 = 188784

Therefore, the value for common factors is 188784.

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 = 3854994954624/(1x188784)

LCM = 3854994954624/188784

LCM = 20420136

Thus, we can understand that the LCM of 171,506,684,472,138 is 20420136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 171, 506, 684, 472, 138

1. What is the LCM of 171, 506, 684, 472, 138?

Answer: LCM of 171, 506, 684, 472, 138 is 20420136.

2. How to calculate the LCM of 171, 506, 684, 472, 138?

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 171, 506, 684, 472, 138.

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}.