Least Common Multiple of 93/548, 21/688, 278/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/548, 21/688, 278/745 quickly i.e. 180978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/548, 21/688, 278/745 is 180978.

LCM(93/548, 21/688, 278/745) = 180978

LCM of 93/548, 21/688, 278/745

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 93/548,21/688,278/745

Given numbers are 93/548,21/688,278/745

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 93,21,278

Least Common Multiple of Numerators i.e. LCM of 93,21,278 is 180978.

GCF of Denominators means GCF of 548,688,745 as per the given fractions.

GCF of 548,688,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,21,278

LCM of Fractions 93/548,21/688,278/745 is 180978

3 93, 21, 278
31, 7, 278

∴ So the LCM of the given numbers is 3 x 31 x 7 x 278 = 180978

Least Common Multiple of 93,21,278 with GCF Formula

Least Common Multiple of 93,21,278 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 93,21,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,21,278) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,21,278) x common factors =1 x 3 = 3

LCM(93,21,278) = ( 93 × 21 × 278 ) / 3

LCM(93,21,278) = 542934 / 3

LCM(93,21,278) = 180978


Lets's calculate GCF of 548,688,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180978/1

Therefore the LCM of Fractions 93/548,21/688,278/745 is 180978

Greatest Common Factor of 548,688,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,688,745 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 548,688,745 . The biggest common factor number is the GCF number.
So the greatest common factor 548,688,745 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 93/548, 21/688, 278/745

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 93/548, 21/688, 278/745?

Answer: LCM of Numerators as per given numbers 93/548, 21/688, 278/745 is

LCM of Numerators i.e. for 93,21,278 is 180978

GCF of denominators i.e. for 548,688,745 is 1.

Thus, LCM of Fractions is 180978.Finally, LCM of Fractions for 93/548, 21/688, 278/745 is 180978.