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LCM of 715, 306, 482, 968

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


Find the LCM of 715, 306, 482, 968 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, 306, 482, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,306,482,968

Given numbers are 715,306,482,968

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

The LCM of 715,306,482,968 is 2320049160.

Find LCM of 715,306,482,968 with Prime Factorization


2 715, 306, 482, 968
11 715, 153, 241, 484
65, 153, 241, 44

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

2 x 11 x 65 x 153 x 241 x 44 = 2320049160

Therefore, the lowest common multiple of 715,306,482,968 is 2320049160.

LCM Formula to Find Lowest Common Multiple of 715,306,482,968

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 306 x 482 x 968 = 102082163040

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

482 : 1, 2, 241, 482

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,306,482,968, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

306:2x 3x 3x 17

482:2x 241

968:2x 2x 2x 11x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 102082163040/(1x44)

LCM = 102082163040/44

LCM = 2320049160

Thus, we can understand that the LCM of 715,306,482,968 is 2320049160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 306, 482, 968

1. What is the LCM of 715, 306, 482, 968?

Answer: LCM of 715, 306, 482, 968 is 2320049160.

2. How to calculate the LCM of 715, 306, 482, 968?

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, 306, 482, 968.

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}.