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LCM of 684, 494, 132, 748

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


Find the LCM of 684, 494, 132, 748 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 684, 494, 132, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,494,132,748

Given numbers are 684,494,132,748

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

The LCM of 684,494,132,748 is 1662804.

Find LCM of 684,494,132,748 with Prime Factorization


2 684, 494, 132, 748
2 342, 247, 66, 374
3 171, 247, 33, 187
11 57, 247, 11, 187
19 57, 247, 1, 17
3, 13, 1, 17

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

2 x 2 x 3 x 11 x 19 x 3 x 13 x 1 x 17 = 1662804

Therefore, the lowest common multiple of 684,494,132,748 is 1662804.

LCM Formula to Find Lowest Common Multiple of 684,494,132,748

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.

684 x 494 x 132 x 748 = 33362499456

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.

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,494,132,748, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

494:2x 13x 19

132:2x 2x 3x 11

748:2x 2x 11x 17

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 11x 19 = 10032

Therefore, the value for common factors is 10032.

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 = 33362499456/(2x10032)

LCM = 33362499456/20064

LCM = 1662804

Thus, we can understand that the LCM of 684,494,132,748 is 1662804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 494, 132, 748

1. What is the LCM of 684, 494, 132, 748?

Answer: LCM of 684, 494, 132, 748 is 1662804.

2. How to calculate the LCM of 684, 494, 132, 748?

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 684, 494, 132, 748.

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}.