Least Common Multiple of 457/39, 269/10, 922/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/39, 269/10, 922/236 quickly i.e. 113344226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/39, 269/10, 922/236 is 113344226.

LCM(457/39, 269/10, 922/236) = 113344226

LCM of 457/39, 269/10, 922/236

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 457/39,269/10,922/236

Given numbers are 457/39,269/10,922/236

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 457,269,922

Least Common Multiple of Numerators i.e. LCM of 457,269,922 is 113344226.

GCF of Denominators means GCF of 39,10,236 as per the given fractions.

GCF of 39,10,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,269,922

LCM of Fractions 457/39,269/10,922/236 is 113344226

Given numbers has no common factors except 1. So, there LCM is their product i.e 113344226

Least Common Multiple of 457,269,922 with GCF Formula

Least Common Multiple of 457,269,922 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 457,269,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,269,922) = 1

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

GCF(457,269,922) x common factors =1 x 1 = 1

LCM(457,269,922) = ( 457 × 269 × 922 ) / 1

LCM(457,269,922) = 113344226 / 1

LCM(457,269,922) = 113344226


Lets's calculate GCF of 39,10,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113344226/1

Therefore the LCM of Fractions 457/39,269/10,922/236 is 113344226

Greatest Common Factor of 39,10,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,10,236 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 39,10,236 . The biggest common factor number is the GCF number.
So the greatest common factor 39,10,236 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 457/39, 269/10, 922/236

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 457/39, 269/10, 922/236?

Answer: LCM of Numerators as per given numbers 457/39, 269/10, 922/236 is

LCM of Numerators i.e. for 457,269,922 is 113344226

GCF of denominators i.e. for 39,10,236 is 1.

Thus, LCM of Fractions is 113344226.Finally, LCM of Fractions for 457/39, 269/10, 922/236 is 113344226.