Least Common Multiple of 196/44, 137/2076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 196/44, 137/2076 quickly i.e. 6713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/44, 137/2076 is 6713.

LCM(196/44, 137/2076) = 6713

LCM of 196/44, 137/2076

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 196/44,137/2076

Given numbers are 196/44,137/2076

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 196,137

Least Common Multiple of Numerators i.e. LCM of 196,137 is 26852.

GCF of Denominators means GCF of 44,2076 as per the given fractions.

GCF of 44,2076 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,137

LCM of Fractions 196/44,137/2076 is 6713

Given numbers has no common factors except 1. So, there LCM is their product i.e 26852

Least Common Multiple of 196,137 with GCF Formula

Least Common Multiple of 196,137 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 196,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,137) = 1

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

GCF(196,137) x common factors =1 x 1 = 1

LCM(196,137) = ( 196 × 137 ) / 1

LCM(196,137) = 26852 / 1

LCM(196,137) = 26852


Lets's calculate GCF of 44,2076

2 44, 2076
2 22, 1038
11, 519

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26852/4

Therefore the LCM of Fractions 196/44,137/2076 is 6713

Greatest Common Factor of 44,2076 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,2076 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1,2,3,4,6,12,173,346,519,692,1038,2076

Greatest Common Factor

We found the factors 44,2076 . The biggest common factor number is the GCF number.
So the greatest common factor 44,2076 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 196/44, 137/2076

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 196/44, 137/2076?

Answer: LCM of Numerators as per given numbers 196/44, 137/2076 is

LCM of Numerators i.e. for 196,137 is 26852

GCF of denominators i.e. for 44,2076 is 4.

Thus, LCM of Fractions is 6713.Finally, LCM of Fractions for 196/44, 137/2076 is 6713.