Least Common Multiple of 293/62, 733/4991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/62, 733/4991 quickly i.e. 214769/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/62, 733/4991 is 214769/31.

LCM(293/62, 733/4991) = 214769/31

LCM of 293/62, 733/4991

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 293/62,733/4991

Given numbers are 293/62,733/4991

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 293,733

Least Common Multiple of Numerators i.e. LCM of 293,733 is 214769.

GCF of Denominators means GCF of 62,4991 as per the given fractions.

GCF of 62,4991 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,733

LCM of Fractions 293/62,733/4991 is 214769/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 214769

Least Common Multiple of 293,733 with GCF Formula

Least Common Multiple of 293,733 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 293,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,733) = 1

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

GCF(293,733) x common factors =1 x 1 = 1

LCM(293,733) = ( 293 × 733 ) / 1

LCM(293,733) = 214769 / 1

LCM(293,733) = 214769


Lets's calculate GCF of 62,4991

31 62, 4991
2, 161

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214769/31

Therefore the LCM of Fractions 293/62,733/4991 is 214769/31

Greatest Common Factor of 62,4991 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,4991 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1,7,23,31,161,217,713,4991

Greatest Common Factor

We found the factors 62,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 62,4991 is 31.


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 293/62, 733/4991

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 293/62, 733/4991?

Answer: LCM of Numerators as per given numbers 293/62, 733/4991 is

LCM of Numerators i.e. for 293,733 is 214769

GCF of denominators i.e. for 62,4991 is 31.

Thus, LCM of Fractions is 214769/31.Finally, LCM of Fractions for 293/62, 733/4991 is 214769/31.