Least Common Multiple of 5/921, 62/493, 16/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5/921, 62/493, 16/992 quickly i.e. 2480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/921, 62/493, 16/992 is 2480.

LCM(5/921, 62/493, 16/992) = 2480

LCM of 5/921, 62/493, 16/992

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 5/921,62/493,16/992

Given numbers are 5/921,62/493,16/992

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 5,62,16

Least Common Multiple of Numerators i.e. LCM of 5,62,16 is 2480.

GCF of Denominators means GCF of 921,493,992 as per the given fractions.

GCF of 921,493,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,62,16

LCM of Fractions 5/921,62/493,16/992 is 2480

2 5, 62, 16
5, 31, 8

∴ So the LCM of the given numbers is 2 x 5 x 31 x 8 = 2480

Least Common Multiple of 5,62,16 with GCF Formula

Least Common Multiple of 5,62,16 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 5,62,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,62,16) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(5,62,16) x common factors =1 x 2 = 2

LCM(5,62,16) = ( 5 × 62 × 16 ) / 2

LCM(5,62,16) = 4960 / 2

LCM(5,62,16) = 2480


Lets's calculate GCF of 921,493,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2480/1

Therefore the LCM of Fractions 5/921,62/493,16/992 is 2480

Greatest Common Factor of 921,493,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,493,992 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 921,493,992 . The biggest common factor number is the GCF number.
So the greatest common factor 921,493,992 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5/921, 62/493, 16/992

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 5/921, 62/493, 16/992?

Answer: LCM of Numerators as per given numbers 5/921, 62/493, 16/992 is

LCM of Numerators i.e. for 5,62,16 is 2480

GCF of denominators i.e. for 921,493,992 is 1.

Thus, LCM of Fractions is 2480.Finally, LCM of Fractions for 5/921, 62/493, 16/992 is 2480.