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LCM of 713, 508, 947, 441, 764

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


Find the LCM of 713, 508, 947, 441, 764 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 713, 508, 947, 441, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,508,947,441,764

Given numbers are 713,508,947,441,764

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

The LCM of 713,508,947,441,764 is 28891838452428.

Find LCM of 713,508,947,441,764 with Prime Factorization


2 713, 508, 947, 441, 764
2 713, 254, 947, 441, 382
713, 127, 947, 441, 191

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

2 x 2 x 713 x 127 x 947 x 441 x 191 = 28891838452428

Therefore, the lowest common multiple of 713,508,947,441,764 is 28891838452428.

LCM Formula to Find Lowest Common Multiple of 713,508,947,441,764

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.

713 x 508 x 947 x 441 x 764 = 115567353809712

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.

713 : 1, 23, 31, 713

508 : 1, 2, 4, 127, 254, 508

947 : 1, 947

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,508,947,441,764, is 1.

Now, the common factors can be found like this.

713:23x 31

508:2x 2x 127

947:947

441:3x 3x 7x 7

764:2x 2x 191

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 115567353809712/(1x4)

LCM = 115567353809712/4

LCM = 28891838452428

Thus, we can understand that the LCM of 713,508,947,441,764 is 28891838452428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 508, 947, 441, 764

1. What is the LCM of 713, 508, 947, 441, 764?

Answer: LCM of 713, 508, 947, 441, 764 is 28891838452428.

2. How to calculate the LCM of 713, 508, 947, 441, 764?

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 713, 508, 947, 441, 764.

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}.