Least Common Multiple of 45/684, 451/206, 118/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/684, 451/206, 118/115 quickly i.e. 2394810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/684, 451/206, 118/115 is 2394810.

LCM(45/684, 451/206, 118/115) = 2394810

LCM of 45/684, 451/206, 118/115

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 45/684,451/206,118/115

Given numbers are 45/684,451/206,118/115

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 45,451,118

Least Common Multiple of Numerators i.e. LCM of 45,451,118 is 2394810.

GCF of Denominators means GCF of 684,206,115 as per the given fractions.

GCF of 684,206,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,451,118

LCM of Fractions 45/684,451/206,118/115 is 2394810

Given numbers has no common factors except 1. So, there LCM is their product i.e 2394810

Least Common Multiple of 45,451,118 with GCF Formula

Least Common Multiple of 45,451,118 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 45,451,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,451,118) = 1

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

GCF(45,451,118) x common factors =1 x 1 = 1

LCM(45,451,118) = ( 45 × 451 × 118 ) / 1

LCM(45,451,118) = 2394810 / 1

LCM(45,451,118) = 2394810


Lets's calculate GCF of 684,206,115

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2394810/1

Therefore the LCM of Fractions 45/684,451/206,118/115 is 2394810

Greatest Common Factor of 684,206,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,206,115 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 684,206,115 . The biggest common factor number is the GCF number.
So the greatest common factor 684,206,115 is 1.


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 45/684, 451/206, 118/115

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 45/684, 451/206, 118/115?

Answer: LCM of Numerators as per given numbers 45/684, 451/206, 118/115 is

LCM of Numerators i.e. for 45,451,118 is 2394810

GCF of denominators i.e. for 684,206,115 is 1.

Thus, LCM of Fractions is 2394810.Finally, LCM of Fractions for 45/684, 451/206, 118/115 is 2394810.