Least Common Multiple of 419/875, 385/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/875, 385/218 quickly i.e. 161315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/875, 385/218 is 161315.

LCM(419/875, 385/218) = 161315

LCM of 419/875, 385/218

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 419/875,385/218

Given numbers are 419/875,385/218

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 419,385

Least Common Multiple of Numerators i.e. LCM of 419,385 is 161315.

GCF of Denominators means GCF of 875,218 as per the given fractions.

GCF of 875,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,385

LCM of Fractions 419/875,385/218 is 161315

Given numbers has no common factors except 1. So, there LCM is their product i.e 161315

Least Common Multiple of 419,385 with GCF Formula

Least Common Multiple of 419,385 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 419,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,385) = 1

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

GCF(419,385) x common factors =1 x 1 = 1

LCM(419,385) = ( 419 × 385 ) / 1

LCM(419,385) = 161315 / 1

LCM(419,385) = 161315


Lets's calculate GCF of 875,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161315/1

Therefore the LCM of Fractions 419/875,385/218 is 161315

Greatest Common Factor of 875,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,218 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 875,218 . The biggest common factor number is the GCF number.
So the greatest common factor 875,218 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 419/875, 385/218

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 419/875, 385/218?

Answer: LCM of Numerators as per given numbers 419/875, 385/218 is

LCM of Numerators i.e. for 419,385 is 161315

GCF of denominators i.e. for 875,218 is 1.

Thus, LCM of Fractions is 161315.Finally, LCM of Fractions for 419/875, 385/218 is 161315.