Least Common Multiple of 278/712, 343/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/712, 343/284 quickly i.e. 95354/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/712, 343/284 is 95354/4.

LCM(278/712, 343/284) = 95354/4

LCM of 278/712, 343/284

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 278/712,343/284

Given numbers are 278/712,343/284

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 278,343

Least Common Multiple of Numerators i.e. LCM of 278,343 is 95354.

GCF of Denominators means GCF of 712,284 as per the given fractions.

GCF of 712,284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,343

LCM of Fractions 278/712,343/284 is 95354/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 95354

Least Common Multiple of 278,343 with GCF Formula

Least Common Multiple of 278,343 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 278,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,343) = 1

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

GCF(278,343) x common factors =1 x 1 = 1

LCM(278,343) = ( 278 × 343 ) / 1

LCM(278,343) = 95354 / 1

LCM(278,343) = 95354


Lets's calculate GCF of 712,284

2 712, 284
2 356, 142
178, 71

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95354/4

Therefore the LCM of Fractions 278/712,343/284 is 95354/4

Greatest Common Factor of 712,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,284 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 712,284 . The biggest common factor number is the GCF number.
So the greatest common factor 712,284 is 4.


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 278/712, 343/284

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 278/712, 343/284?

Answer: LCM of Numerators as per given numbers 278/712, 343/284 is

LCM of Numerators i.e. for 278,343 is 95354

GCF of denominators i.e. for 712,284 is 4.

Thus, LCM of Fractions is 95354/4.Finally, LCM of Fractions for 278/712, 343/284 is 95354/4.