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LCM of 724, 472, 708, 258

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


Find the LCM of 724, 472, 708, 258 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, 472, 708, 258. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,472,708,258

Given numbers are 724,472,708,258

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

The LCM of 724,472,708,258 is 11020728.

Find LCM of 724,472,708,258 with Prime Factorization


2 724, 472, 708, 258
2 362, 236, 354, 129
3 181, 118, 177, 129
59 181, 118, 59, 43
181, 2, 1, 43

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

2 x 2 x 3 x 59 x 181 x 2 x 1 x 43 = 11020728

Therefore, the lowest common multiple of 724,472,708,258 is 11020728.

LCM Formula to Find Lowest Common Multiple of 724,472,708,258

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 472 x 708 x 258 = 62421403392

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,472,708,258, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

472:2x 2x 2x 59

708:2x 2x 3x 59

258:2x 3x 43

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 59 = 2832

Therefore, the value for common factors is 2832.

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 = 62421403392/(2x2832)

LCM = 62421403392/5664

LCM = 11020728

Thus, we can understand that the LCM of 724,472,708,258 is 11020728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 472, 708, 258

1. What is the LCM of 724, 472, 708, 258?

Answer: LCM of 724, 472, 708, 258 is 11020728.

2. How to calculate the LCM of 724, 472, 708, 258?

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, 472, 708, 258.

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}.