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LCM of 747, 814, 947, 730

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


Find the LCM of 747, 814, 947, 730 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 747, 814, 947, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,814,947,730

Given numbers are 747,814,947,730

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

The LCM of 747,814,947,730 is 210178287990.

Find LCM of 747,814,947,730 with Prime Factorization


2 747, 814, 947, 730
747, 407, 947, 365

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

2 x 747 x 407 x 947 x 365 = 210178287990

Therefore, the lowest common multiple of 747,814,947,730 is 210178287990.

LCM Formula to Find Lowest Common Multiple of 747,814,947,730

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.

747 x 814 x 947 x 730 = 420356575980

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.

747 : 1, 3, 9, 83, 249, 747

814 : 1, 2, 11, 22, 37, 74, 407, 814

947 : 1, 947

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,814,947,730, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

814:2x 11x 37

947:947

730:2x 5x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 420356575980/(1x2)

LCM = 420356575980/2

LCM = 210178287990

Thus, we can understand that the LCM of 747,814,947,730 is 210178287990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 814, 947, 730

1. What is the LCM of 747, 814, 947, 730?

Answer: LCM of 747, 814, 947, 730 is 210178287990.

2. How to calculate the LCM of 747, 814, 947, 730?

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 747, 814, 947, 730.

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}.