LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 653, 862, 345, 368

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


Find the LCM of 653, 862, 345, 368 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 653, 862, 345, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,862,345,368

Given numbers are 653,862,345,368

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

The LCM of 653,862,345,368 is 1553565360.

Find LCM of 653,862,345,368 with Prime Factorization


2 653, 862, 345, 368
23 653, 431, 345, 184
653, 431, 15, 8

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

2 x 23 x 653 x 431 x 15 x 8 = 1553565360

Therefore, the lowest common multiple of 653,862,345,368 is 1553565360.

LCM Formula to Find Lowest Common Multiple of 653,862,345,368

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.

653 x 862 x 345 x 368 = 71464006560

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.

653 : 1, 653

862 : 1, 2, 431, 862

345 : 1, 3, 5, 15, 23, 69, 115, 345

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,862,345,368, is 1.

Now, the common factors can be found like this.

653:653

862:2x 431

345:3x 5x 23

368:2x 2x 2x 2x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 71464006560/(1x46)

LCM = 71464006560/46

LCM = 1553565360

Thus, we can understand that the LCM of 653,862,345,368 is 1553565360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 862, 345, 368

1. What is the LCM of 653, 862, 345, 368?

Answer: LCM of 653, 862, 345, 368 is 1553565360.

2. How to calculate the LCM of 653, 862, 345, 368?

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 653, 862, 345, 368.

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}.