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LCM of 370, 310, 713, 567

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


Find the LCM of 370, 310, 713, 567 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 370, 310, 713, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 370,310,713,567

Given numbers are 370,310,713,567

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

The LCM of 370,310,713,567 is 149580270.

Find LCM of 370,310,713,567 with Prime Factorization


2 370, 310, 713, 567
5 185, 155, 713, 567
31 37, 31, 713, 567
37, 1, 23, 567

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

2 x 5 x 31 x 37 x 1 x 23 x 567 = 149580270

Therefore, the lowest common multiple of 370,310,713,567 is 149580270.

LCM Formula to Find Lowest Common Multiple of 370,310,713,567

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.

370 x 310 x 713 x 567 = 46369883700

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.

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

713 : 1, 23, 31, 713

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,310,713,567, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

310:2x 5x 31

713:23x 31

567:3x 3x 3x 3x 7

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

2x 5x 31 = 310

Therefore, the value for common factors is 310.

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 = 46369883700/(1x310)

LCM = 46369883700/310

LCM = 149580270

Thus, we can understand that the LCM of 370,310,713,567 is 149580270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 370, 310, 713, 567

1. What is the LCM of 370, 310, 713, 567?

Answer: LCM of 370, 310, 713, 567 is 149580270.

2. How to calculate the LCM of 370, 310, 713, 567?

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 370, 310, 713, 567.

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}.