Least Common Multiple of 274/14, 918/97, 428/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/14, 918/97, 428/966 quickly i.e. 26913924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/14, 918/97, 428/966 is 26913924.

LCM(274/14, 918/97, 428/966) = 26913924

LCM of 274/14, 918/97, 428/966

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 274/14,918/97,428/966

Given numbers are 274/14,918/97,428/966

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 274,918,428

Least Common Multiple of Numerators i.e. LCM of 274,918,428 is 26913924.

GCF of Denominators means GCF of 14,97,966 as per the given fractions.

GCF of 14,97,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,918,428

LCM of Fractions 274/14,918/97,428/966 is 26913924

2 274, 918, 428
137, 459, 214

∴ So the LCM of the given numbers is 2 x 137 x 459 x 214 = 26913924

Least Common Multiple of 274,918,428 with GCF Formula

Least Common Multiple of 274,918,428 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 274,918,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,918,428) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(274,918,428) x common factors =2 x 2 = 4

LCM(274,918,428) = ( 274 × 918 × 428 ) / 4

LCM(274,918,428) = 107655696 / 4

LCM(274,918,428) = 26913924


Lets's calculate GCF of 14,97,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26913924/1

Therefore the LCM of Fractions 274/14,918/97,428/966 is 26913924

Greatest Common Factor of 14,97,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,97,966 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

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 14,97,966 . The biggest common factor number is the GCF number.
So the greatest common factor 14,97,966 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 274/14, 918/97, 428/966

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 274/14, 918/97, 428/966?

Answer: LCM of Numerators as per given numbers 274/14, 918/97, 428/966 is

LCM of Numerators i.e. for 274,918,428 is 26913924

GCF of denominators i.e. for 14,97,966 is 1.

Thus, LCM of Fractions is 26913924.Finally, LCM of Fractions for 274/14, 918/97, 428/966 is 26913924.