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LCM of 715, 506, 312, 881

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


Find the LCM of 715, 506, 312, 881 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 715, 506, 312, 881. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,506,312,881

Given numbers are 715,506,312,881

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

The LCM of 715,506,312,881 is 347713080.

Find LCM of 715,506,312,881 with Prime Factorization


2 715, 506, 312, 881
11 715, 253, 156, 881
13 65, 23, 156, 881
5, 23, 12, 881

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

2 x 11 x 13 x 5 x 23 x 12 x 881 = 347713080

Therefore, the lowest common multiple of 715,506,312,881 is 347713080.

LCM Formula to Find Lowest Common Multiple of 715,506,312,881

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.

715 x 506 x 312 x 881 = 99445940880

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

506 : 1, 2, 11, 22, 23, 46, 253, 506

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

881 : 1, 881

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,506,312,881, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

506:2x 11x 23

312:2x 2x 2x 3x 13

881:881

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 13 = 286

Therefore, the value for common factors is 286.

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 = 99445940880/(1x286)

LCM = 99445940880/286

LCM = 347713080

Thus, we can understand that the LCM of 715,506,312,881 is 347713080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 506, 312, 881

1. What is the LCM of 715, 506, 312, 881?

Answer: LCM of 715, 506, 312, 881 is 347713080.

2. How to calculate the LCM of 715, 506, 312, 881?

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 715, 506, 312, 881.

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}.