Least Common Multiple of 2994/310, 2874/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2994/310, 2874/831 quickly i.e. 1434126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2994/310, 2874/831 is 1434126.

LCM(2994/310, 2874/831) = 1434126

LCM of 2994/310, 2874/831

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 2994/310,2874/831

Given numbers are 2994/310,2874/831

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 2994,2874

Least Common Multiple of Numerators i.e. LCM of 2994,2874 is 1434126.

GCF of Denominators means GCF of 310,831 as per the given fractions.

GCF of 310,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2994,2874

LCM of Fractions 2994/310,2874/831 is 1434126

2 2994, 2874
3 1497, 1437
499, 479

∴ So the LCM of the given numbers is 2 x 3 x 499 x 479 = 1434126

Least Common Multiple of 2994,2874 with GCF Formula

Least Common Multiple of 2994,2874 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 2994,2874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2994,2874) = 6

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

GCF(2994,2874) x common factors =6 x 1 = 6

LCM(2994,2874) = ( 2994 × 2874 ) / 6

LCM(2994,2874) = 8604756 / 6

LCM(2994,2874) = 1434126


Lets's calculate GCF of 310,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1434126/1

Therefore the LCM of Fractions 2994/310,2874/831 is 1434126

Greatest Common Factor of 310,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,831 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 310,831 . The biggest common factor number is the GCF number.
So the greatest common factor 310,831 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 2994/310, 2874/831

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 2994/310, 2874/831?

Answer: LCM of Numerators as per given numbers 2994/310, 2874/831 is

LCM of Numerators i.e. for 2994,2874 is 1434126

GCF of denominators i.e. for 310,831 is 1.

Thus, LCM of Fractions is 1434126.Finally, LCM of Fractions for 2994/310, 2874/831 is 1434126.