Least Common Multiple of 312/456, 2975/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/456, 2975/482 quickly i.e. 464100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/456, 2975/482 is 464100.

LCM(312/456, 2975/482) = 464100

LCM of 312/456, 2975/482

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 312/456,2975/482

Given numbers are 312/456,2975/482

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 312,2975

Least Common Multiple of Numerators i.e. LCM of 312,2975 is 928200.

GCF of Denominators means GCF of 456,482 as per the given fractions.

GCF of 456,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,2975

LCM of Fractions 312/456,2975/482 is 464100

Given numbers has no common factors except 1. So, there LCM is their product i.e 928200

Least Common Multiple of 312,2975 with GCF Formula

Least Common Multiple of 312,2975 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 312,2975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,2975) = 1

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

GCF(312,2975) x common factors =1 x 1 = 1

LCM(312,2975) = ( 312 × 2975 ) / 1

LCM(312,2975) = 928200 / 1

LCM(312,2975) = 928200


Lets's calculate GCF of 456,482

2 456, 482
228, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 928200/2

Therefore the LCM of Fractions 312/456,2975/482 is 464100

Greatest Common Factor of 456,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,482 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 456,482 . The biggest common factor number is the GCF number.
So the greatest common factor 456,482 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 312/456, 2975/482

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 312/456, 2975/482?

Answer: LCM of Numerators as per given numbers 312/456, 2975/482 is

LCM of Numerators i.e. for 312,2975 is 928200

GCF of denominators i.e. for 456,482 is 2.

Thus, LCM of Fractions is 464100.Finally, LCM of Fractions for 312/456, 2975/482 is 464100.