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LCM of 724, 258, 840, 532

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


Find the LCM of 724, 258, 840, 532 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 724, 258, 840, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,258,840,532

Given numbers are 724,258,840,532

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

The LCM of 724,258,840,532 is 124216680.

Find LCM of 724,258,840,532 with Prime Factorization


2 724, 258, 840, 532
2 362, 129, 420, 266
3 181, 129, 210, 133
7 181, 43, 70, 133
181, 43, 10, 19

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

2 x 2 x 3 x 7 x 181 x 43 x 10 x 19 = 124216680

Therefore, the lowest common multiple of 724,258,840,532 is 124216680.

LCM Formula to Find Lowest Common Multiple of 724,258,840,532

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.

724 x 258 x 840 x 532 = 83473608960

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.

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,258,840,532, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

258:2x 3x 43

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

532:2x 2x 7x 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 7 = 336

Therefore, the value for common factors is 336.

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 = 83473608960/(2x336)

LCM = 83473608960/672

LCM = 124216680

Thus, we can understand that the LCM of 724,258,840,532 is 124216680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 258, 840, 532

1. What is the LCM of 724, 258, 840, 532?

Answer: LCM of 724, 258, 840, 532 is 124216680.

2. How to calculate the LCM of 724, 258, 840, 532?

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 724, 258, 840, 532.

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}.