Least Common Multiple of 157/311, 365/584, 714/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/311, 365/584, 714/449 quickly i.e. 40915770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/311, 365/584, 714/449 is 40915770.

LCM(157/311, 365/584, 714/449) = 40915770

LCM of 157/311, 365/584, 714/449

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 157/311,365/584,714/449

Given numbers are 157/311,365/584,714/449

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 157,365,714

Least Common Multiple of Numerators i.e. LCM of 157,365,714 is 40915770.

GCF of Denominators means GCF of 311,584,449 as per the given fractions.

GCF of 311,584,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,365,714

LCM of Fractions 157/311,365/584,714/449 is 40915770

Given numbers has no common factors except 1. So, there LCM is their product i.e 40915770

Least Common Multiple of 157,365,714 with GCF Formula

Least Common Multiple of 157,365,714 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 157,365,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,365,714) = 1

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

GCF(157,365,714) x common factors =1 x 1 = 1

LCM(157,365,714) = ( 157 × 365 × 714 ) / 1

LCM(157,365,714) = 40915770 / 1

LCM(157,365,714) = 40915770


Lets's calculate GCF of 311,584,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40915770/1

Therefore the LCM of Fractions 157/311,365/584,714/449 is 40915770

Greatest Common Factor of 311,584,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,584,449 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 311,584,449 . The biggest common factor number is the GCF number.
So the greatest common factor 311,584,449 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 157/311, 365/584, 714/449

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 157/311, 365/584, 714/449?

Answer: LCM of Numerators as per given numbers 157/311, 365/584, 714/449 is

LCM of Numerators i.e. for 157,365,714 is 40915770

GCF of denominators i.e. for 311,584,449 is 1.

Thus, LCM of Fractions is 40915770.Finally, LCM of Fractions for 157/311, 365/584, 714/449 is 40915770.