Least Common Multiple of 2969/674, 2276/1949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2969/674, 2276/1949 quickly i.e. 6757444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2969/674, 2276/1949 is 6757444.

LCM(2969/674, 2276/1949) = 6757444

LCM of 2969/674, 2276/1949

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 2969/674,2276/1949

Given numbers are 2969/674,2276/1949

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 2969,2276

Least Common Multiple of Numerators i.e. LCM of 2969,2276 is 6757444.

GCF of Denominators means GCF of 674,1949 as per the given fractions.

GCF of 674,1949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2969,2276

LCM of Fractions 2969/674,2276/1949 is 6757444

Given numbers has no common factors except 1. So, there LCM is their product i.e 6757444

Least Common Multiple of 2969,2276 with GCF Formula

Least Common Multiple of 2969,2276 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 2969,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2969,2276) = 1

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

GCF(2969,2276) x common factors =1 x 1 = 1

LCM(2969,2276) = ( 2969 × 2276 ) / 1

LCM(2969,2276) = 6757444 / 1

LCM(2969,2276) = 6757444


Lets's calculate GCF of 674,1949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6757444/1

Therefore the LCM of Fractions 2969/674,2276/1949 is 6757444

Greatest Common Factor of 674,1949 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,1949 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 1949

List of positive integer factors of 1949 that divides 1949 without a remainder.

1,1949

Greatest Common Factor

We found the factors 674,1949 . The biggest common factor number is the GCF number.
So the greatest common factor 674,1949 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 2969/674, 2276/1949

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 2969/674, 2276/1949?

Answer: LCM of Numerators as per given numbers 2969/674, 2276/1949 is

LCM of Numerators i.e. for 2969,2276 is 6757444

GCF of denominators i.e. for 674,1949 is 1.

Thus, LCM of Fractions is 6757444.Finally, LCM of Fractions for 2969/674, 2276/1949 is 6757444.