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LCM of 840, 559, 892, 724

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


Find the LCM of 840, 559, 892, 724 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 840, 559, 892, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 840,559,892,724

Given numbers are 840,559,892,724

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

The LCM of 840,559,892,724 is 18952850280.

Find LCM of 840,559,892,724 with Prime Factorization


2 840, 559, 892, 724
2 420, 559, 446, 362
210, 559, 223, 181

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

2 x 2 x 210 x 559 x 223 x 181 = 18952850280

Therefore, the lowest common multiple of 840,559,892,724 is 18952850280.

LCM Formula to Find Lowest Common Multiple of 840,559,892,724

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.

840 x 559 x 892 x 724 = 303245604480

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

559 : 1, 13, 43, 559

892 : 1, 2, 4, 223, 446, 892

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,559,892,724, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

559:13x 43

892:2x 2x 223

724:2x 2x 181

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 2 = 16

Therefore, the value for common factors is 16.

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 = 303245604480/(1x16)

LCM = 303245604480/16

LCM = 18952850280

Thus, we can understand that the LCM of 840,559,892,724 is 18952850280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 840, 559, 892, 724

1. What is the LCM of 840, 559, 892, 724?

Answer: LCM of 840, 559, 892, 724 is 18952850280.

2. How to calculate the LCM of 840, 559, 892, 724?

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 840, 559, 892, 724.

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}.