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LCM of 684, 538, 190, 584

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


Find the LCM of 684, 538, 190, 584 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, 538, 190, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,538,190,584

Given numbers are 684,538,190,584

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

The LCM of 684,538,190,584 is 134317080.

Find LCM of 684,538,190,584 with Prime Factorization


2 684, 538, 190, 584
2 342, 269, 95, 292
19 171, 269, 95, 146
9, 269, 5, 146

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

2 x 2 x 19 x 9 x 269 x 5 x 146 = 134317080

Therefore, the lowest common multiple of 684,538,190,584 is 134317080.

LCM Formula to Find Lowest Common Multiple of 684,538,190,584

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 538 x 190 x 584 = 40832392320

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

538 : 1, 2, 269, 538

190 : 1, 2, 5, 10, 19, 38, 95, 190

584 : 1, 2, 4, 8, 73, 146, 292, 584

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,538,190,584, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

538:2x 269

190:2x 5x 19

584:2x 2x 2x 73

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 19 = 152

Therefore, the value for common factors is 152.

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 = 40832392320/(2x152)

LCM = 40832392320/304

LCM = 134317080

Thus, we can understand that the LCM of 684,538,190,584 is 134317080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 538, 190, 584

1. What is the LCM of 684, 538, 190, 584?

Answer: LCM of 684, 538, 190, 584 is 134317080.

2. How to calculate the LCM of 684, 538, 190, 584?

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, 538, 190, 584.

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}.