Least Common Multiple of 786/498, 323/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 786/498, 323/672 quickly i.e. 42313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/498, 323/672 is 42313.

LCM(786/498, 323/672) = 42313

LCM of 786/498, 323/672

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 786/498,323/672

Given numbers are 786/498,323/672

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 786,323

Least Common Multiple of Numerators i.e. LCM of 786,323 is 253878.

GCF of Denominators means GCF of 498,672 as per the given fractions.

GCF of 498,672 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,323

LCM of Fractions 786/498,323/672 is 42313

Given numbers has no common factors except 1. So, there LCM is their product i.e 253878

Least Common Multiple of 786,323 with GCF Formula

Least Common Multiple of 786,323 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 786,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,323) = 1

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

GCF(786,323) x common factors =1 x 1 = 1

LCM(786,323) = ( 786 × 323 ) / 1

LCM(786,323) = 253878 / 1

LCM(786,323) = 253878


Lets's calculate GCF of 498,672

2 498, 672
3 249, 336
83, 112

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253878/6

Therefore the LCM of Fractions 786/498,323/672 is 42313

Greatest Common Factor of 498,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,672 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

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 498,672 . The biggest common factor number is the GCF number.
So the greatest common factor 498,672 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 786/498, 323/672

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 786/498, 323/672?

Answer: LCM of Numerators as per given numbers 786/498, 323/672 is

LCM of Numerators i.e. for 786,323 is 253878

GCF of denominators i.e. for 498,672 is 6.

Thus, LCM of Fractions is 42313.Finally, LCM of Fractions for 786/498, 323/672 is 42313.