Least Common Multiple of 385/78, 2755/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/78, 2755/221 quickly i.e. 212135/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/78, 2755/221 is 212135/13.

LCM(385/78, 2755/221) = 212135/13

LCM of 385/78, 2755/221

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 385/78,2755/221

Given numbers are 385/78,2755/221

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 385,2755

Least Common Multiple of Numerators i.e. LCM of 385,2755 is 212135.

GCF of Denominators means GCF of 78,221 as per the given fractions.

GCF of 78,221 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,2755

LCM of Fractions 385/78,2755/221 is 212135/13

5 385, 2755
77, 551

∴ So the LCM of the given numbers is 5 x 77 x 551 = 212135

Least Common Multiple of 385,2755 with GCF Formula

Least Common Multiple of 385,2755 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 385,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,2755) = 5

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

GCF(385,2755) x common factors =5 x 1 = 5

LCM(385,2755) = ( 385 × 2755 ) / 5

LCM(385,2755) = 1060675 / 5

LCM(385,2755) = 212135


Lets's calculate GCF of 78,221

13 78, 221
6, 17

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212135/13

Therefore the LCM of Fractions 385/78,2755/221 is 212135/13

Greatest Common Factor of 78,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,221 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 78,221 . The biggest common factor number is the GCF number.
So the greatest common factor 78,221 is 13.


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 385/78, 2755/221

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 385/78, 2755/221?

Answer: LCM of Numerators as per given numbers 385/78, 2755/221 is

LCM of Numerators i.e. for 385,2755 is 212135

GCF of denominators i.e. for 78,221 is 13.

Thus, LCM of Fractions is 212135/13.Finally, LCM of Fractions for 385/78, 2755/221 is 212135/13.