Least Common Multiple of 335/55, 232/43, 765/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 335/55, 232/43, 765/21 quickly i.e. 11891160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/55, 232/43, 765/21 is 11891160.

LCM(335/55, 232/43, 765/21) = 11891160

LCM of 335/55, 232/43, 765/21

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 335/55,232/43,765/21

Given numbers are 335/55,232/43,765/21

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 335,232,765

Least Common Multiple of Numerators i.e. LCM of 335,232,765 is 11891160.

GCF of Denominators means GCF of 55,43,21 as per the given fractions.

GCF of 55,43,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,232,765

LCM of Fractions 335/55,232/43,765/21 is 11891160

5 335, 232, 765
67, 232, 153

∴ So the LCM of the given numbers is 5 x 67 x 232 x 153 = 11891160

Least Common Multiple of 335,232,765 with GCF Formula

Least Common Multiple of 335,232,765 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 335,232,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,232,765) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(335,232,765) x common factors =1 x 5 = 5

LCM(335,232,765) = ( 335 × 232 × 765 ) / 5

LCM(335,232,765) = 59455800 / 5

LCM(335,232,765) = 11891160


Lets's calculate GCF of 55,43,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11891160/1

Therefore the LCM of Fractions 335/55,232/43,765/21 is 11891160

Greatest Common Factor of 55,43,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,43,21 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 55,43,21 . The biggest common factor number is the GCF number.
So the greatest common factor 55,43,21 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 335/55, 232/43, 765/21

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 335/55, 232/43, 765/21?

Answer: LCM of Numerators as per given numbers 335/55, 232/43, 765/21 is

LCM of Numerators i.e. for 335,232,765 is 11891160

GCF of denominators i.e. for 55,43,21 is 1.

Thus, LCM of Fractions is 11891160.Finally, LCM of Fractions for 335/55, 232/43, 765/21 is 11891160.