Least Common Multiple of 196/296, 2903/5574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 196/296, 2903/5574 quickly i.e. 284494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/296, 2903/5574 is 284494.

LCM(196/296, 2903/5574) = 284494

LCM of 196/296, 2903/5574

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 196/296,2903/5574

Given numbers are 196/296,2903/5574

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 196,2903

Least Common Multiple of Numerators i.e. LCM of 196,2903 is 568988.

GCF of Denominators means GCF of 296,5574 as per the given fractions.

GCF of 296,5574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,2903

LCM of Fractions 196/296,2903/5574 is 284494

Given numbers has no common factors except 1. So, there LCM is their product i.e 568988

Least Common Multiple of 196,2903 with GCF Formula

Least Common Multiple of 196,2903 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 196,2903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,2903) = 1

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

GCF(196,2903) x common factors =1 x 1 = 1

LCM(196,2903) = ( 196 × 2903 ) / 1

LCM(196,2903) = 568988 / 1

LCM(196,2903) = 568988


Lets's calculate GCF of 296,5574

2 296, 5574
148, 2787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568988/2

Therefore the LCM of Fractions 196/296,2903/5574 is 284494

Greatest Common Factor of 296,5574 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,5574 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1,2,3,6,929,1858,2787,5574

Greatest Common Factor

We found the factors 296,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 296,5574 is 2.


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Frequently Asked Questions on Fractional LCM of 196/296, 2903/5574

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 196/296, 2903/5574?

Answer: LCM of Numerators as per given numbers 196/296, 2903/5574 is

LCM of Numerators i.e. for 196,2903 is 568988

GCF of denominators i.e. for 296,5574 is 2.

Thus, LCM of Fractions is 284494.Finally, LCM of Fractions for 196/296, 2903/5574 is 284494.