Least Common Multiple of 61/31, 67/91, 76/50, 16/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/31, 67/91, 76/50, 16/733 quickly i.e. 1242448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/31, 67/91, 76/50, 16/733 is 1242448.

LCM(61/31, 67/91, 76/50, 16/733) = 1242448

LCM of 61/31, 67/91, 76/50, 16/733

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 61/31,67/91,76/50,16/733

Given numbers are 61/31,67/91,76/50,16/733

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 61,67,76,16

Least Common Multiple of Numerators i.e. LCM of 61,67,76,16 is 1242448.

GCF of Denominators means GCF of 31,91,50,733 as per the given fractions.

GCF of 31,91,50,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,67,76,16

LCM of Fractions 61/31,67/91,76/50,16/733 is 1242448

2 61, 67, 76, 16
2 61, 67, 38, 8
61, 67, 19, 4

∴ So the LCM of the given numbers is 2 x 2 x 61 x 67 x 19 x 4 = 1242448

Least Common Multiple of 61,67,76,16 with GCF Formula

Least Common Multiple of 61,67,76,16 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 61,67,76,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,67,76,16) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,67,76,16) x common factors =1 x 4 = 4

LCM(61,67,76,16) = ( 61 × 67 × 76 × 16 ) / 4

LCM(61,67,76,16) = 4969792 / 4

LCM(61,67,76,16) = 1242448


Lets's calculate GCF of 31,91,50,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242448/1

Therefore the LCM of Fractions 61/31,67/91,76/50,16/733 is 1242448

Greatest Common Factor of 31,91,50,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,91,50,733 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 31,91,50,733 . The biggest common factor number is the GCF number.
So the greatest common factor 31,91,50,733 is 1.


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 61/31, 67/91, 76/50, 16/733

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 61/31, 67/91, 76/50, 16/733?

Answer: LCM of Numerators as per given numbers 61/31, 67/91, 76/50, 16/733 is

LCM of Numerators i.e. for 61,67,76,16 is 1242448

GCF of denominators i.e. for 31,91,50,733 is 1.

Thus, LCM of Fractions is 1242448.Finally, LCM of Fractions for 61/31, 67/91, 76/50, 16/733 is 1242448.