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LCM of 712, 712, 684, 680

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


Find the LCM of 712, 712, 684, 680 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 712, 712, 684, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 712,712,684,680

Given numbers are 712,712,684,680

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

The LCM of 712,712,684,680 is 10348920.

Find LCM of 712,712,684,680 with Prime Factorization


2 712, 712, 684, 680
2 356, 356, 342, 340
2 178, 178, 171, 170
89 89, 89, 171, 85
1, 1, 171, 85

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

2 x 2 x 2 x 89 x 1 x 1 x 171 x 85 = 10348920

Therefore, the lowest common multiple of 712,712,684,680 is 10348920.

LCM Formula to Find Lowest Common Multiple of 712,712,684,680

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.

712 x 712 x 684 x 680 = 235789793280

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

712 : 1, 2, 4, 8, 89, 178, 356, 712

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,712,684,680, is 4.

Now, the common factors can be found like this.

712:2x 2x 2x 89

712:2x 2x 2x 89

684:2x 2x 3x 3x 19

680:2x 2x 2x 5x 17

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 2x 2x 89 = 5696

Therefore, the value for common factors is 5696.

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 = 235789793280/(4x5696)

LCM = 235789793280/22784

LCM = 10348920

Thus, we can understand that the LCM of 712,712,684,680 is 10348920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 712, 712, 684, 680

1. What is the LCM of 712, 712, 684, 680?

Answer: LCM of 712, 712, 684, 680 is 10348920.

2. How to calculate the LCM of 712, 712, 684, 680?

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 712, 712, 684, 680.

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}.