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LCM of 524, 456, 682, 684

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


Find the LCM of 524, 456, 682, 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 524, 456, 682, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,456,682,684

Given numbers are 524,456,682,684

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

The LCM of 524,456,682,684 is 61109928.

Find LCM of 524,456,682,684 with Prime Factorization


2 524, 456, 682, 684
2 262, 228, 341, 342
3 131, 114, 341, 171
19 131, 38, 341, 57
131, 2, 341, 3

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

2 x 2 x 3 x 19 x 131 x 2 x 341 x 3 = 61109928

Therefore, the lowest common multiple of 524,456,682,684 is 61109928.

LCM Formula to Find Lowest Common Multiple of 524,456,682,684

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.

524 x 456 x 682 x 684 = 111464508672

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.

524 : 1, 2, 4, 131, 262, 524

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

682 : 1, 2, 11, 22, 31, 62, 341, 682

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,456,682,684, is 2.

Now, the common factors can be found like this.

524:2x 2x 131

456:2x 2x 2x 3x 19

682:2x 11x 31

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 2x 2x 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 111464508672/(2x912)

LCM = 111464508672/1824

LCM = 61109928

Thus, we can understand that the LCM of 524,456,682,684 is 61109928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 456, 682, 684

1. What is the LCM of 524, 456, 682, 684?

Answer: LCM of 524, 456, 682, 684 is 61109928.

2. How to calculate the LCM of 524, 456, 682, 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 524, 456, 682, 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}.