Least Common Multiple of 967/84, 231/2673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 967/84, 231/2673 quickly i.e. 74459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/84, 231/2673 is 74459.

LCM(967/84, 231/2673) = 74459

LCM of 967/84, 231/2673

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 967/84,231/2673

Given numbers are 967/84,231/2673

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 967,231

Least Common Multiple of Numerators i.e. LCM of 967,231 is 223377.

GCF of Denominators means GCF of 84,2673 as per the given fractions.

GCF of 84,2673 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,231

LCM of Fractions 967/84,231/2673 is 74459

Given numbers has no common factors except 1. So, there LCM is their product i.e 223377

Least Common Multiple of 967,231 with GCF Formula

Least Common Multiple of 967,231 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 967,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,231) = 1

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

GCF(967,231) x common factors =1 x 1 = 1

LCM(967,231) = ( 967 × 231 ) / 1

LCM(967,231) = 223377 / 1

LCM(967,231) = 223377


Lets's calculate GCF of 84,2673

3 84, 2673
28, 891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223377/3

Therefore the LCM of Fractions 967/84,231/2673 is 74459

Greatest Common Factor of 84,2673 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,2673 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 2673

List of positive integer factors of 2673 that divides 2673 without a remainder.

1,3,9,11,27,33,81,99,243,297,891,2673

Greatest Common Factor

We found the factors 84,2673 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2673 is 3.


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Frequently Asked Questions on Fractional LCM of 967/84, 231/2673

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 967/84, 231/2673?

Answer: LCM of Numerators as per given numbers 967/84, 231/2673 is

LCM of Numerators i.e. for 967,231 is 223377

GCF of denominators i.e. for 84,2673 is 3.

Thus, LCM of Fractions is 74459.Finally, LCM of Fractions for 967/84, 231/2673 is 74459.