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LCM of 708, 701, 472, 460

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


Find the LCM of 708, 701, 472, 460 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 708, 701, 472, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,701,472,460

Given numbers are 708,701,472,460

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

The LCM of 708,701,472,460 is 114150840.

Find LCM of 708,701,472,460 with Prime Factorization


2 708, 701, 472, 460
2 354, 701, 236, 230
59 177, 701, 118, 115
3, 701, 2, 115

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

2 x 2 x 59 x 3 x 701 x 2 x 115 = 114150840

Therefore, the lowest common multiple of 708,701,472,460 is 114150840.

LCM Formula to Find Lowest Common Multiple of 708,701,472,460

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.

708 x 701 x 472 x 460 = 107758392960

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.

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

701 : 1, 701

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,701,472,460, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

701:701

472:2x 2x 2x 59

460:2x 2x 5x 23

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 59 = 944

Therefore, the value for common factors is 944.

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 = 107758392960/(1x944)

LCM = 107758392960/944

LCM = 114150840

Thus, we can understand that the LCM of 708,701,472,460 is 114150840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 701, 472, 460

1. What is the LCM of 708, 701, 472, 460?

Answer: LCM of 708, 701, 472, 460 is 114150840.

2. How to calculate the LCM of 708, 701, 472, 460?

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 708, 701, 472, 460.

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}.