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LCM of 708, 782, 612, 867, 457

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


Find the LCM of 708, 782, 612, 867, 457 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, 782, 612, 867, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,782,612,867,457

Given numbers are 708,782,612,867,457

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

The LCM of 708,782,612,867,457 is 6452030196.

Find LCM of 708,782,612,867,457 with Prime Factorization


2 708, 782, 612, 867, 457
2 354, 391, 306, 867, 457
3 177, 391, 153, 867, 457
17 59, 391, 51, 289, 457
59, 23, 3, 17, 457

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

2 x 2 x 3 x 17 x 59 x 23 x 3 x 17 x 457 = 6452030196

Therefore, the lowest common multiple of 708,782,612,867,457 is 6452030196.

LCM Formula to Find Lowest Common Multiple of 708,782,612,867,457

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 782 x 612 x 867 x 457 = 134253844318368

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

867 : 1, 3, 17, 51, 289, 867

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,782,612,867,457, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

782:2x 17x 23

612:2x 2x 3x 3x 17

867:3x 17x 17

457:457

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 3x 3x 17x 17 = 20808

Therefore, the value for common factors is 20808.

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 = 134253844318368/(1x20808)

LCM = 134253844318368/20808

LCM = 6452030196

Thus, we can understand that the LCM of 708,782,612,867,457 is 6452030196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 782, 612, 867, 457

1. What is the LCM of 708, 782, 612, 867, 457?

Answer: LCM of 708, 782, 612, 867, 457 is 6452030196.

2. How to calculate the LCM of 708, 782, 612, 867, 457?

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, 782, 612, 867, 457.

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}.