Least Common Multiple of 314/70, 318/2228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/70, 318/2228 quickly i.e. 24963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/70, 318/2228 is 24963.

LCM(314/70, 318/2228) = 24963

LCM of 314/70, 318/2228

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 314/70,318/2228

Given numbers are 314/70,318/2228

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 314,318

Least Common Multiple of Numerators i.e. LCM of 314,318 is 49926.

GCF of Denominators means GCF of 70,2228 as per the given fractions.

GCF of 70,2228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,318

LCM of Fractions 314/70,318/2228 is 24963

2 314, 318
157, 159

∴ So the LCM of the given numbers is 2 x 157 x 159 = 49926

Least Common Multiple of 314,318 with GCF Formula

Least Common Multiple of 314,318 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 314,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,318) = 2

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

GCF(314,318) x common factors =2 x 1 = 2

LCM(314,318) = ( 314 × 318 ) / 2

LCM(314,318) = 99852 / 2

LCM(314,318) = 49926


Lets's calculate GCF of 70,2228

2 70, 2228
35, 1114

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49926/2

Therefore the LCM of Fractions 314/70,318/2228 is 24963

Greatest Common Factor of 70,2228 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,2228 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 2228

List of positive integer factors of 2228 that divides 2228 without a remainder.

1,2,4,557,1114,2228

Greatest Common Factor

We found the factors 70,2228 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2228 is 2.


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 314/70, 318/2228

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 314/70, 318/2228?

Answer: LCM of Numerators as per given numbers 314/70, 318/2228 is

LCM of Numerators i.e. for 314,318 is 49926

GCF of denominators i.e. for 70,2228 is 2.

Thus, LCM of Fractions is 24963.Finally, LCM of Fractions for 314/70, 318/2228 is 24963.