Least Common Multiple of 735/85, 182/54, 978/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/85, 182/54, 978/72 quickly i.e. 3114930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/85, 182/54, 978/72 is 3114930.

LCM(735/85, 182/54, 978/72) = 3114930

LCM of 735/85, 182/54, 978/72

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 735/85,182/54,978/72

Given numbers are 735/85,182/54,978/72

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 735,182,978

Least Common Multiple of Numerators i.e. LCM of 735,182,978 is 3114930.

GCF of Denominators means GCF of 85,54,72 as per the given fractions.

GCF of 85,54,72 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,182,978

LCM of Fractions 735/85,182/54,978/72 is 3114930

2 735, 182, 978
3 735, 91, 489
7 245, 91, 163
35, 13, 163

∴ So the LCM of the given numbers is 2 x 3 x 7 x 35 x 13 x 163 = 3114930

Least Common Multiple of 735,182,978 with GCF Formula

Least Common Multiple of 735,182,978 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 735,182,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,182,978) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(735,182,978) x common factors =1 x 42 = 42

LCM(735,182,978) = ( 735 × 182 × 978 ) / 42

LCM(735,182,978) = 130827060 / 42

LCM(735,182,978) = 3114930


Lets's calculate GCF of 85,54,72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3114930/1

Therefore the LCM of Fractions 735/85,182/54,978/72 is 3114930

Greatest Common Factor of 85,54,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,54,72 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 85,54,72 . The biggest common factor number is the GCF number.
So the greatest common factor 85,54,72 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 735/85, 182/54, 978/72

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 735/85, 182/54, 978/72?

Answer: LCM of Numerators as per given numbers 735/85, 182/54, 978/72 is

LCM of Numerators i.e. for 735,182,978 is 3114930

GCF of denominators i.e. for 85,54,72 is 1.

Thus, LCM of Fractions is 3114930.Finally, LCM of Fractions for 735/85, 182/54, 978/72 is 3114930.