Least Common Multiple of 3080/456, 4687/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3080/456, 4687/972 quickly i.e. 14435960/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3080/456, 4687/972 is 14435960/12.

LCM(3080/456, 4687/972) = 14435960/12

LCM of 3080/456, 4687/972

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 3080/456,4687/972

Given numbers are 3080/456,4687/972

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 3080,4687

Least Common Multiple of Numerators i.e. LCM of 3080,4687 is 14435960.

GCF of Denominators means GCF of 456,972 as per the given fractions.

GCF of 456,972 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3080,4687

LCM of Fractions 3080/456,4687/972 is 14435960/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 14435960

Least Common Multiple of 3080,4687 with GCF Formula

Least Common Multiple of 3080,4687 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 3080,4687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3080,4687) = 1

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

GCF(3080,4687) x common factors =1 x 1 = 1

LCM(3080,4687) = ( 3080 × 4687 ) / 1

LCM(3080,4687) = 14435960 / 1

LCM(3080,4687) = 14435960


Lets's calculate GCF of 456,972

2 456, 972
2 228, 486
3 114, 243
38, 81

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14435960/12

Therefore the LCM of Fractions 3080/456,4687/972 is 14435960/12

Greatest Common Factor of 456,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,972 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 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 456,972 . The biggest common factor number is the GCF number.
So the greatest common factor 456,972 is 12.


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 3080/456, 4687/972

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 3080/456, 4687/972?

Answer: LCM of Numerators as per given numbers 3080/456, 4687/972 is

LCM of Numerators i.e. for 3080,4687 is 14435960

GCF of denominators i.e. for 456,972 is 12.

Thus, LCM of Fractions is 14435960/12.Finally, LCM of Fractions for 3080/456, 4687/972 is 14435960/12.