Least Common Multiple of 484/267, 1942/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/267, 1942/672 quickly i.e. 469964/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/267, 1942/672 is 469964/3.

LCM(484/267, 1942/672) = 469964/3

LCM of 484/267, 1942/672

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 484/267,1942/672

Given numbers are 484/267,1942/672

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 484,1942

Least Common Multiple of Numerators i.e. LCM of 484,1942 is 469964.

GCF of Denominators means GCF of 267,672 as per the given fractions.

GCF of 267,672 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,1942

LCM of Fractions 484/267,1942/672 is 469964/3

2 484, 1942
242, 971

∴ So the LCM of the given numbers is 2 x 242 x 971 = 469964

Least Common Multiple of 484,1942 with GCF Formula

Least Common Multiple of 484,1942 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 484,1942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,1942) = 2

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

GCF(484,1942) x common factors =2 x 1 = 2

LCM(484,1942) = ( 484 × 1942 ) / 2

LCM(484,1942) = 939928 / 2

LCM(484,1942) = 469964


Lets's calculate GCF of 267,672

3 267, 672
89, 224

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469964/3

Therefore the LCM of Fractions 484/267,1942/672 is 469964/3

Greatest Common Factor of 267,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,672 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 267,672 . The biggest common factor number is the GCF number.
So the greatest common factor 267,672 is 3.


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 484/267, 1942/672

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 484/267, 1942/672?

Answer: LCM of Numerators as per given numbers 484/267, 1942/672 is

LCM of Numerators i.e. for 484,1942 is 469964

GCF of denominators i.e. for 267,672 is 3.

Thus, LCM of Fractions is 469964/3.Finally, LCM of Fractions for 484/267, 1942/672 is 469964/3.