Least Common Multiple of 274/838, 343/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/838, 343/719 quickly i.e. 93982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/838, 343/719 is 93982.

LCM(274/838, 343/719) = 93982

LCM of 274/838, 343/719

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 274/838,343/719

Given numbers are 274/838,343/719

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 274,343

Least Common Multiple of Numerators i.e. LCM of 274,343 is 93982.

GCF of Denominators means GCF of 838,719 as per the given fractions.

GCF of 838,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,343

LCM of Fractions 274/838,343/719 is 93982

Given numbers has no common factors except 1. So, there LCM is their product i.e 93982

Least Common Multiple of 274,343 with GCF Formula

Least Common Multiple of 274,343 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 274,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,343) = 1

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

GCF(274,343) x common factors =1 x 1 = 1

LCM(274,343) = ( 274 × 343 ) / 1

LCM(274,343) = 93982 / 1

LCM(274,343) = 93982


Lets's calculate GCF of 838,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93982/1

Therefore the LCM of Fractions 274/838,343/719 is 93982

Greatest Common Factor of 838,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,719 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 838,719 . The biggest common factor number is the GCF number.
So the greatest common factor 838,719 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 274/838, 343/719

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 274/838, 343/719?

Answer: LCM of Numerators as per given numbers 274/838, 343/719 is

LCM of Numerators i.e. for 274,343 is 93982

GCF of denominators i.e. for 838,719 is 1.

Thus, LCM of Fractions is 93982.Finally, LCM of Fractions for 274/838, 343/719 is 93982.