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LCM of 658, 509, 393, 370

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


Find the LCM of 658, 509, 393, 370 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 658, 509, 393, 370. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 658,509,393,370

Given numbers are 658,509,393,370

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

The LCM of 658,509,393,370 is 24350504010.

Find LCM of 658,509,393,370 with Prime Factorization


2 658, 509, 393, 370
329, 509, 393, 185

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

2 x 329 x 509 x 393 x 185 = 24350504010

Therefore, the lowest common multiple of 658,509,393,370 is 24350504010.

LCM Formula to Find Lowest Common Multiple of 658,509,393,370

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.

658 x 509 x 393 x 370 = 48701008020

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.

658 : 1, 2, 7, 14, 47, 94, 329, 658

509 : 1, 509

393 : 1, 3, 131, 393

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,509,393,370, is 1.

Now, the common factors can be found like this.

658:2x 7x 47

509:509

393:3x 131

370:2x 5x 37

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 = 48701008020/(1x2)

LCM = 48701008020/2

LCM = 24350504010

Thus, we can understand that the LCM of 658,509,393,370 is 24350504010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 658, 509, 393, 370

1. What is the LCM of 658, 509, 393, 370?

Answer: LCM of 658, 509, 393, 370 is 24350504010.

2. How to calculate the LCM of 658, 509, 393, 370?

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 658, 509, 393, 370.

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}.