Least Common Multiple of 478/371, 210/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/371, 210/595 quickly i.e. 7170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/371, 210/595 is 7170.

LCM(478/371, 210/595) = 7170

LCM of 478/371, 210/595

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 478/371,210/595

Given numbers are 478/371,210/595

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 478,210

Least Common Multiple of Numerators i.e. LCM of 478,210 is 50190.

GCF of Denominators means GCF of 371,595 as per the given fractions.

GCF of 371,595 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,210

LCM of Fractions 478/371,210/595 is 7170

2 478, 210
239, 105

∴ So the LCM of the given numbers is 2 x 239 x 105 = 50190

Least Common Multiple of 478,210 with GCF Formula

Least Common Multiple of 478,210 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 478,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,210) = 2

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

GCF(478,210) x common factors =2 x 1 = 2

LCM(478,210) = ( 478 × 210 ) / 2

LCM(478,210) = 100380 / 2

LCM(478,210) = 50190


Lets's calculate GCF of 371,595

7 371, 595
53, 85

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50190/7

Therefore the LCM of Fractions 478/371,210/595 is 7170

Greatest Common Factor of 371,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,595 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 371,595 . The biggest common factor number is the GCF number.
So the greatest common factor 371,595 is 7.


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 478/371, 210/595

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 478/371, 210/595?

Answer: LCM of Numerators as per given numbers 478/371, 210/595 is

LCM of Numerators i.e. for 478,210 is 50190

GCF of denominators i.e. for 371,595 is 7.

Thus, LCM of Fractions is 7170.Finally, LCM of Fractions for 478/371, 210/595 is 7170.