Least Common Multiple of 513/862, 8900/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/862, 8900/172 quickly i.e. 2282850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/862, 8900/172 is 2282850.

LCM(513/862, 8900/172) = 2282850

LCM of 513/862, 8900/172

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 513/862,8900/172

Given numbers are 513/862,8900/172

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 513,8900

Least Common Multiple of Numerators i.e. LCM of 513,8900 is 4565700.

GCF of Denominators means GCF of 862,172 as per the given fractions.

GCF of 862,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,8900

LCM of Fractions 513/862,8900/172 is 2282850

Given numbers has no common factors except 1. So, there LCM is their product i.e 4565700

Least Common Multiple of 513,8900 with GCF Formula

Least Common Multiple of 513,8900 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 513,8900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,8900) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(513,8900) x common factors =1 x 1 = 1

LCM(513,8900) = ( 513 × 8900 ) / 1

LCM(513,8900) = 4565700 / 1

LCM(513,8900) = 4565700


Lets's calculate GCF of 862,172

2 862, 172
431, 86

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4565700/2

Therefore the LCM of Fractions 513/862,8900/172 is 2282850

Greatest Common Factor of 862,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,172 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 862,172 . The biggest common factor number is the GCF number.
So the greatest common factor 862,172 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 513/862, 8900/172

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 513/862, 8900/172?

Answer: LCM of Numerators as per given numbers 513/862, 8900/172 is

LCM of Numerators i.e. for 513,8900 is 4565700

GCF of denominators i.e. for 862,172 is 2.

Thus, LCM of Fractions is 2282850.Finally, LCM of Fractions for 513/862, 8900/172 is 2282850.