Least Common Multiple of 2278/713, 3430/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2278/713, 3430/943 quickly i.e. 3906770/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2278/713, 3430/943 is 3906770/23.

LCM(2278/713, 3430/943) = 3906770/23

LCM of 2278/713, 3430/943

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 2278/713,3430/943

Given numbers are 2278/713,3430/943

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 2278,3430

Least Common Multiple of Numerators i.e. LCM of 2278,3430 is 3906770.

GCF of Denominators means GCF of 713,943 as per the given fractions.

GCF of 713,943 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2278,3430

LCM of Fractions 2278/713,3430/943 is 3906770/23

2 2278, 3430
1139, 1715

∴ So the LCM of the given numbers is 2 x 1139 x 1715 = 3906770

Least Common Multiple of 2278,3430 with GCF Formula

Least Common Multiple of 2278,3430 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 2278,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2278,3430) = 2

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

GCF(2278,3430) x common factors =2 x 1 = 2

LCM(2278,3430) = ( 2278 × 3430 ) / 2

LCM(2278,3430) = 7813540 / 2

LCM(2278,3430) = 3906770


Lets's calculate GCF of 713,943

23 713, 943
31, 41

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3906770/23

Therefore the LCM of Fractions 2278/713,3430/943 is 3906770/23

Greatest Common Factor of 713,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,943 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 713,943 . The biggest common factor number is the GCF number.
So the greatest common factor 713,943 is 23.


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 2278/713, 3430/943

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 2278/713, 3430/943?

Answer: LCM of Numerators as per given numbers 2278/713, 3430/943 is

LCM of Numerators i.e. for 2278,3430 is 3906770

GCF of denominators i.e. for 713,943 is 23.

Thus, LCM of Fractions is 3906770/23.Finally, LCM of Fractions for 2278/713, 3430/943 is 3906770/23.