Least Common Multiple of 45/78, 281/71, 971/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/78, 281/71, 971/882 quickly i.e. 12278295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/78, 281/71, 971/882 is 12278295.

LCM(45/78, 281/71, 971/882) = 12278295

LCM of 45/78, 281/71, 971/882

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 45/78,281/71,971/882

Given numbers are 45/78,281/71,971/882

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 45,281,971

Least Common Multiple of Numerators i.e. LCM of 45,281,971 is 12278295.

GCF of Denominators means GCF of 78,71,882 as per the given fractions.

GCF of 78,71,882 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,281,971

LCM of Fractions 45/78,281/71,971/882 is 12278295

Given numbers has no common factors except 1. So, there LCM is their product i.e 12278295

Least Common Multiple of 45,281,971 with GCF Formula

Least Common Multiple of 45,281,971 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 45,281,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,281,971) = 1

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

GCF(45,281,971) x common factors =1 x 1 = 1

LCM(45,281,971) = ( 45 × 281 × 971 ) / 1

LCM(45,281,971) = 12278295 / 1

LCM(45,281,971) = 12278295


Lets's calculate GCF of 78,71,882

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12278295/1

Therefore the LCM of Fractions 45/78,281/71,971/882 is 12278295

Greatest Common Factor of 78,71,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,71,882 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 78,71,882 . The biggest common factor number is the GCF number.
So the greatest common factor 78,71,882 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 45/78, 281/71, 971/882

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 45/78, 281/71, 971/882?

Answer: LCM of Numerators as per given numbers 45/78, 281/71, 971/882 is

LCM of Numerators i.e. for 45,281,971 is 12278295

GCF of denominators i.e. for 78,71,882 is 1.

Thus, LCM of Fractions is 12278295.Finally, LCM of Fractions for 45/78, 281/71, 971/882 is 12278295.