Least Common Multiple of 45/50, 31/64, 61/11, 23/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/50, 31/64, 61/11, 23/304 quickly i.e. 1957185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/50, 31/64, 61/11, 23/304 is 1957185.

LCM(45/50, 31/64, 61/11, 23/304) = 1957185

LCM of 45/50, 31/64, 61/11, 23/304

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 45/50,31/64,61/11,23/304

Given numbers are 45/50,31/64,61/11,23/304

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 45,31,61,23

Least Common Multiple of Numerators i.e. LCM of 45,31,61,23 is 1957185.

GCF of Denominators means GCF of 50,64,11,304 as per the given fractions.

GCF of 50,64,11,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,31,61,23

LCM of Fractions 45/50,31/64,61/11,23/304 is 1957185

Given numbers has no common factors except 1. So, there LCM is their product i.e 1957185

Least Common Multiple of 45,31,61,23 with GCF Formula

Least Common Multiple of 45,31,61,23 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 45,31,61,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,31,61,23) = 1

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

GCF(45,31,61,23) x common factors =1 x 1 = 1

LCM(45,31,61,23) = ( 45 × 31 × 61 × 23 ) / 1

LCM(45,31,61,23) = 1957185 / 1

LCM(45,31,61,23) = 1957185


Lets's calculate GCF of 50,64,11,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1957185/1

Therefore the LCM of Fractions 45/50,31/64,61/11,23/304 is 1957185

Greatest Common Factor of 50,64,11,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,64,11,304 By Matching Biggest Common Factor Method

Factors of 50

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

1,2,5,10,25,50

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 50,64,11,304 . The biggest common factor number is the GCF number.
So the greatest common factor 50,64,11,304 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 45/50, 31/64, 61/11, 23/304

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 45/50, 31/64, 61/11, 23/304?

Answer: LCM of Numerators as per given numbers 45/50, 31/64, 61/11, 23/304 is

LCM of Numerators i.e. for 45,31,61,23 is 1957185

GCF of denominators i.e. for 50,64,11,304 is 1.

Thus, LCM of Fractions is 1957185.Finally, LCM of Fractions for 45/50, 31/64, 61/11, 23/304 is 1957185.