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LCM of 473, 731, 272, 931, 684

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


Find the LCM of 473, 731, 272, 931, 684 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 473, 731, 272, 931, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,731,272,931,684

Given numbers are 473,731,272,931,684

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

The LCM of 473,731,272,931,684 is 1078008624.

Find LCM of 473,731,272,931,684 with Prime Factorization


2 473, 731, 272, 931, 684
2 473, 731, 136, 931, 342
17 473, 731, 68, 931, 171
19 473, 43, 4, 931, 171
43 473, 43, 4, 49, 9
11, 1, 4, 49, 9

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

2 x 2 x 17 x 19 x 43 x 11 x 1 x 4 x 49 x 9 = 1078008624

Therefore, the lowest common multiple of 473,731,272,931,684 is 1078008624.

LCM Formula to Find Lowest Common Multiple of 473,731,272,931,684

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.

473 x 731 x 272 x 931 x 684 = 59889847114944

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.

473 : 1, 11, 43, 473

731 : 1, 17, 43, 731

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

931 : 1, 7, 19, 49, 133, 931

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,731,272,931,684, is 1.

Now, the common factors can be found like this.

473:11x 43

731:17x 43

272:2x 2x 2x 2x 17

931:7x 7x 19

684:2x 2x 3x 3x 19

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 17x 19x 43 = 55556

Therefore, the value for common factors is 55556.

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 = 59889847114944/(1x55556)

LCM = 59889847114944/55556

LCM = 1078008624

Thus, we can understand that the LCM of 473,731,272,931,684 is 1078008624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 731, 272, 931, 684

1. What is the LCM of 473, 731, 272, 931, 684?

Answer: LCM of 473, 731, 272, 931, 684 is 1078008624.

2. How to calculate the LCM of 473, 731, 272, 931, 684?

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 473, 731, 272, 931, 684.

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}.