Least Common Multiple of 73/876, 49/698, 444/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/876, 49/698, 444/966 quickly i.e. 794094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/876, 49/698, 444/966 is 794094.

LCM(73/876, 49/698, 444/966) = 794094

LCM of 73/876, 49/698, 444/966

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 73/876,49/698,444/966

Given numbers are 73/876,49/698,444/966

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 73,49,444

Least Common Multiple of Numerators i.e. LCM of 73,49,444 is 1588188.

GCF of Denominators means GCF of 876,698,966 as per the given fractions.

GCF of 876,698,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,49,444

LCM of Fractions 73/876,49/698,444/966 is 794094

Given numbers has no common factors except 1. So, there LCM is their product i.e 1588188

Least Common Multiple of 73,49,444 with GCF Formula

Least Common Multiple of 73,49,444 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 73,49,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,49,444) = 1

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

GCF(73,49,444) x common factors =1 x 1 = 1

LCM(73,49,444) = ( 73 × 49 × 444 ) / 1

LCM(73,49,444) = 1588188 / 1

LCM(73,49,444) = 1588188


Lets's calculate GCF of 876,698,966

2 876, 698, 966
438, 349, 483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1588188/2

Therefore the LCM of Fractions 73/876,49/698,444/966 is 794094

Greatest Common Factor of 876,698,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,698,966 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 876,698,966 . The biggest common factor number is the GCF number.
So the greatest common factor 876,698,966 is 2.


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 73/876, 49/698, 444/966

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 73/876, 49/698, 444/966?

Answer: LCM of Numerators as per given numbers 73/876, 49/698, 444/966 is

LCM of Numerators i.e. for 73,49,444 is 1588188

GCF of denominators i.e. for 876,698,966 is 2.

Thus, LCM of Fractions is 794094.Finally, LCM of Fractions for 73/876, 49/698, 444/966 is 794094.