Least Common Multiple of 468/947, 6246/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 468/947, 6246/438 quickly i.e. 162396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/947, 6246/438 is 162396.

LCM(468/947, 6246/438) = 162396

LCM of 468/947, 6246/438

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 468/947,6246/438

Given numbers are 468/947,6246/438

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 468,6246

Least Common Multiple of Numerators i.e. LCM of 468,6246 is 162396.

GCF of Denominators means GCF of 947,438 as per the given fractions.

GCF of 947,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,6246

LCM of Fractions 468/947,6246/438 is 162396

2 468, 6246
3 234, 3123
3 78, 1041
26, 347

∴ So the LCM of the given numbers is 2 x 3 x 3 x 26 x 347 = 162396

Least Common Multiple of 468,6246 with GCF Formula

Least Common Multiple of 468,6246 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 468,6246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,6246) = 18

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

GCF(468,6246) x common factors =18 x 1 = 18

LCM(468,6246) = ( 468 × 6246 ) / 18

LCM(468,6246) = 2923128 / 18

LCM(468,6246) = 162396


Lets's calculate GCF of 947,438

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162396/1

Therefore the LCM of Fractions 468/947,6246/438 is 162396

Greatest Common Factor of 947,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,438 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 947,438 . The biggest common factor number is the GCF number.
So the greatest common factor 947,438 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 468/947, 6246/438

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 468/947, 6246/438?

Answer: LCM of Numerators as per given numbers 468/947, 6246/438 is

LCM of Numerators i.e. for 468,6246 is 162396

GCF of denominators i.e. for 947,438 is 1.

Thus, LCM of Fractions is 162396.Finally, LCM of Fractions for 468/947, 6246/438 is 162396.