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LCM of 734, 490, 490, 513

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


Find the LCM of 734, 490, 490, 513 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 734, 490, 490, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,490,490,513

Given numbers are 734,490,490,513

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

The LCM of 734,490,490,513 is 92252790.

Find LCM of 734,490,490,513 with Prime Factorization


2 734, 490, 490, 513
5 367, 245, 245, 513
7 367, 49, 49, 513
7 367, 7, 7, 513
367, 1, 1, 513

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

2 x 5 x 7 x 7 x 367 x 1 x 1 x 513 = 92252790

Therefore, the lowest common multiple of 734,490,490,513 is 92252790.

LCM Formula to Find Lowest Common Multiple of 734,490,490,513

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.

734 x 490 x 490 x 513 = 90407734200

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.

734 : 1, 2, 367, 734

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,490,490,513, is 1.

Now, the common factors can be found like this.

734:2x 367

490:2x 5x 7x 7

490:2x 5x 7x 7

513:3x 3x 3x 19

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 5x 7x 7 = 980

Therefore, the value for common factors is 980.

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 = 90407734200/(1x980)

LCM = 90407734200/980

LCM = 92252790

Thus, we can understand that the LCM of 734,490,490,513 is 92252790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 490, 490, 513

1. What is the LCM of 734, 490, 490, 513?

Answer: LCM of 734, 490, 490, 513 is 92252790.

2. How to calculate the LCM of 734, 490, 490, 513?

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 734, 490, 490, 513.

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}.