Least Common Multiple of 2786/376, 7483/2397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2786/376, 7483/2397 quickly i.e. 2978234/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2786/376, 7483/2397 is 2978234/47.

LCM(2786/376, 7483/2397) = 2978234/47

LCM of 2786/376, 7483/2397

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 2786/376,7483/2397

Given numbers are 2786/376,7483/2397

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 2786,7483

Least Common Multiple of Numerators i.e. LCM of 2786,7483 is 2978234.

GCF of Denominators means GCF of 376,2397 as per the given fractions.

GCF of 376,2397 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2786,7483

LCM of Fractions 2786/376,7483/2397 is 2978234/47

7 2786, 7483
398, 1069

∴ So the LCM of the given numbers is 7 x 398 x 1069 = 2978234

Least Common Multiple of 2786,7483 with GCF Formula

Least Common Multiple of 2786,7483 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 2786,7483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2786,7483) = 7

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

GCF(2786,7483) x common factors =7 x 1 = 7

LCM(2786,7483) = ( 2786 × 7483 ) / 7

LCM(2786,7483) = 20847638 / 7

LCM(2786,7483) = 2978234


Lets's calculate GCF of 376,2397

47 376, 2397
8, 51

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2978234/47

Therefore the LCM of Fractions 2786/376,7483/2397 is 2978234/47

Greatest Common Factor of 376,2397 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,2397 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1,3,17,47,51,141,799,2397

Greatest Common Factor

We found the factors 376,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 376,2397 is 47.


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 2786/376, 7483/2397

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 2786/376, 7483/2397?

Answer: LCM of Numerators as per given numbers 2786/376, 7483/2397 is

LCM of Numerators i.e. for 2786,7483 is 2978234

GCF of denominators i.e. for 376,2397 is 47.

Thus, LCM of Fractions is 2978234/47.Finally, LCM of Fractions for 2786/376, 7483/2397 is 2978234/47.