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LCM of 747, 168, 684, 548

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


Find the LCM of 747, 168, 684, 548 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 747, 168, 684, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,168,684,548

Given numbers are 747,168,684,548

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

The LCM of 747,168,684,548 is 108888696.

Find LCM of 747,168,684,548 with Prime Factorization


2 747, 168, 684, 548
2 747, 84, 342, 274
3 747, 42, 171, 137
3 249, 14, 57, 137
83, 14, 19, 137

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

2 x 2 x 3 x 3 x 83 x 14 x 19 x 137 = 108888696

Therefore, the lowest common multiple of 747,168,684,548 is 108888696.

LCM Formula to Find Lowest Common Multiple of 747,168,684,548

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.

747 x 168 x 684 x 548 = 47039916672

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.

747 : 1, 3, 9, 83, 249, 747

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

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

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,168,684,548, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

168:2x 2x 2x 3x 7

684:2x 2x 3x 3x 19

548:2x 2x 137

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 3 = 432

Therefore, the value for common factors is 432.

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 = 47039916672/(1x432)

LCM = 47039916672/432

LCM = 108888696

Thus, we can understand that the LCM of 747,168,684,548 is 108888696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 168, 684, 548

1. What is the LCM of 747, 168, 684, 548?

Answer: LCM of 747, 168, 684, 548 is 108888696.

2. How to calculate the LCM of 747, 168, 684, 548?

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 747, 168, 684, 548.

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}.