Least Common Multiple of 314/532, 570/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/532, 570/958 quickly i.e. 44745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/532, 570/958 is 44745.

LCM(314/532, 570/958) = 44745

LCM of 314/532, 570/958

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 314/532,570/958

Given numbers are 314/532,570/958

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 314,570

Least Common Multiple of Numerators i.e. LCM of 314,570 is 89490.

GCF of Denominators means GCF of 532,958 as per the given fractions.

GCF of 532,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,570

LCM of Fractions 314/532,570/958 is 44745

2 314, 570
157, 285

∴ So the LCM of the given numbers is 2 x 157 x 285 = 89490

Least Common Multiple of 314,570 with GCF Formula

Least Common Multiple of 314,570 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 314,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,570) = 2

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

GCF(314,570) x common factors =2 x 1 = 2

LCM(314,570) = ( 314 × 570 ) / 2

LCM(314,570) = 178980 / 2

LCM(314,570) = 89490


Lets's calculate GCF of 532,958

2 532, 958
266, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89490/2

Therefore the LCM of Fractions 314/532,570/958 is 44745

Greatest Common Factor of 532,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,958 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 532,958 . The biggest common factor number is the GCF number.
So the greatest common factor 532,958 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 314/532, 570/958

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 314/532, 570/958?

Answer: LCM of Numerators as per given numbers 314/532, 570/958 is

LCM of Numerators i.e. for 314,570 is 89490

GCF of denominators i.e. for 532,958 is 2.

Thus, LCM of Fractions is 44745.Finally, LCM of Fractions for 314/532, 570/958 is 44745.