Least Common Multiple of 492/488, 4116/2976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/488, 4116/2976 quickly i.e. 168756/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/488, 4116/2976 is 168756/8.

LCM(492/488, 4116/2976) = 168756/8

LCM of 492/488, 4116/2976

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 492/488,4116/2976

Given numbers are 492/488,4116/2976

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 492,4116

Least Common Multiple of Numerators i.e. LCM of 492,4116 is 168756.

GCF of Denominators means GCF of 488,2976 as per the given fractions.

GCF of 488,2976 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,4116

LCM of Fractions 492/488,4116/2976 is 168756/8

2 492, 4116
2 246, 2058
3 123, 1029
41, 343

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 343 = 168756

Least Common Multiple of 492,4116 with GCF Formula

Least Common Multiple of 492,4116 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 492,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,4116) = 12

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

GCF(492,4116) x common factors =12 x 1 = 12

LCM(492,4116) = ( 492 × 4116 ) / 12

LCM(492,4116) = 2025072 / 12

LCM(492,4116) = 168756


Lets's calculate GCF of 488,2976

2 488, 2976
2 244, 1488
2 122, 744
61, 372

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168756/8

Therefore the LCM of Fractions 492/488,4116/2976 is 168756/8

Greatest Common Factor of 488,2976 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,2976 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Greatest Common Factor

We found the factors 488,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 488,2976 is 8.


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 492/488, 4116/2976

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 492/488, 4116/2976?

Answer: LCM of Numerators as per given numbers 492/488, 4116/2976 is

LCM of Numerators i.e. for 492,4116 is 168756

GCF of denominators i.e. for 488,2976 is 8.

Thus, LCM of Fractions is 168756/8.Finally, LCM of Fractions for 492/488, 4116/2976 is 168756/8.