Least Common Multiple of 45/32, 49/371, 208/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/32, 49/371, 208/312 quickly i.e. 458640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/32, 49/371, 208/312 is 458640.

LCM(45/32, 49/371, 208/312) = 458640

LCM of 45/32, 49/371, 208/312

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 45/32,49/371,208/312

Given numbers are 45/32,49/371,208/312

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 45,49,208

Least Common Multiple of Numerators i.e. LCM of 45,49,208 is 458640.

GCF of Denominators means GCF of 32,371,312 as per the given fractions.

GCF of 32,371,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,49,208

LCM of Fractions 45/32,49/371,208/312 is 458640

Given numbers has no common factors except 1. So, there LCM is their product i.e 458640

Least Common Multiple of 45,49,208 with GCF Formula

Least Common Multiple of 45,49,208 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 45,49,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,49,208) = 1

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

GCF(45,49,208) x common factors =1 x 1 = 1

LCM(45,49,208) = ( 45 × 49 × 208 ) / 1

LCM(45,49,208) = 458640 / 1

LCM(45,49,208) = 458640


Lets's calculate GCF of 32,371,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458640/1

Therefore the LCM of Fractions 45/32,49/371,208/312 is 458640

Greatest Common Factor of 32,371,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,371,312 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 32,371,312 . The biggest common factor number is the GCF number.
So the greatest common factor 32,371,312 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 45/32, 49/371, 208/312

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 45/32, 49/371, 208/312?

Answer: LCM of Numerators as per given numbers 45/32, 49/371, 208/312 is

LCM of Numerators i.e. for 45,49,208 is 458640

GCF of denominators i.e. for 32,371,312 is 1.

Thus, LCM of Fractions is 458640.Finally, LCM of Fractions for 45/32, 49/371, 208/312 is 458640.