Least Common Multiple of 78/46, 114/55, 266/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/46, 114/55, 266/873 quickly i.e. 10374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/46, 114/55, 266/873 is 10374.

LCM(78/46, 114/55, 266/873) = 10374

LCM of 78/46, 114/55, 266/873

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 78/46,114/55,266/873

Given numbers are 78/46,114/55,266/873

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 78,114,266

Least Common Multiple of Numerators i.e. LCM of 78,114,266 is 10374.

GCF of Denominators means GCF of 46,55,873 as per the given fractions.

GCF of 46,55,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,114,266

LCM of Fractions 78/46,114/55,266/873 is 10374

2 78, 114, 266
3 39, 57, 133
19 13, 19, 133
13, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 19 x 13 x 1 x 7 = 10374

Least Common Multiple of 78,114,266 with GCF Formula

Least Common Multiple of 78,114,266 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 78,114,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,114,266) = 2

common factors(in case of two or more numbers have common factors) = 114

GCF(78,114,266) x common factors =2 x 114 = 228

LCM(78,114,266) = ( 78 × 114 × 266 ) / 228

LCM(78,114,266) = 2365272 / 228

LCM(78,114,266) = 10374


Lets's calculate GCF of 46,55,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10374/1

Therefore the LCM of Fractions 78/46,114/55,266/873 is 10374

Greatest Common Factor of 46,55,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,55,873 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 55

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

1,5,11,55

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 46,55,873 . The biggest common factor number is the GCF number.
So the greatest common factor 46,55,873 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 78/46, 114/55, 266/873

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 78/46, 114/55, 266/873?

Answer: LCM of Numerators as per given numbers 78/46, 114/55, 266/873 is

LCM of Numerators i.e. for 78,114,266 is 10374

GCF of denominators i.e. for 46,55,873 is 1.

Thus, LCM of Fractions is 10374.Finally, LCM of Fractions for 78/46, 114/55, 266/873 is 10374.