Least Common Multiple of 45/298, 87/151, 314/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/298, 87/151, 314/113 quickly i.e. 409770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/298, 87/151, 314/113 is 409770.

LCM(45/298, 87/151, 314/113) = 409770

LCM of 45/298, 87/151, 314/113

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 45/298,87/151,314/113

Given numbers are 45/298,87/151,314/113

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 45,87,314

Least Common Multiple of Numerators i.e. LCM of 45,87,314 is 409770.

GCF of Denominators means GCF of 298,151,113 as per the given fractions.

GCF of 298,151,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,87,314

LCM of Fractions 45/298,87/151,314/113 is 409770

3 45, 87, 314
15, 29, 314

∴ So the LCM of the given numbers is 3 x 15 x 29 x 314 = 409770

Least Common Multiple of 45,87,314 with GCF Formula

Least Common Multiple of 45,87,314 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 45,87,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,87,314) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,87,314) x common factors =1 x 3 = 3

LCM(45,87,314) = ( 45 × 87 × 314 ) / 3

LCM(45,87,314) = 1229310 / 3

LCM(45,87,314) = 409770


Lets's calculate GCF of 298,151,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409770/1

Therefore the LCM of Fractions 45/298,87/151,314/113 is 409770

Greatest Common Factor of 298,151,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,151,113 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 298,151,113 . The biggest common factor number is the GCF number.
So the greatest common factor 298,151,113 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 45/298, 87/151, 314/113

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 45/298, 87/151, 314/113?

Answer: LCM of Numerators as per given numbers 45/298, 87/151, 314/113 is

LCM of Numerators i.e. for 45,87,314 is 409770

GCF of denominators i.e. for 298,151,113 is 1.

Thus, LCM of Fractions is 409770.Finally, LCM of Fractions for 45/298, 87/151, 314/113 is 409770.