Least Common Multiple of 196/68, 190/2976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/68, 190/2976 quickly i.e. 4655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/68, 190/2976 is 4655.

LCM(196/68, 190/2976) = 4655

LCM of 196/68, 190/2976

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 196/68,190/2976

Given numbers are 196/68,190/2976

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 196,190

Least Common Multiple of Numerators i.e. LCM of 196,190 is 18620.

GCF of Denominators means GCF of 68,2976 as per the given fractions.

GCF of 68,2976 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,190

LCM of Fractions 196/68,190/2976 is 4655

2 196, 190
98, 95

∴ So the LCM of the given numbers is 2 x 98 x 95 = 18620

Least Common Multiple of 196,190 with GCF Formula

Least Common Multiple of 196,190 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 196,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,190) = 2

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

GCF(196,190) x common factors =2 x 1 = 2

LCM(196,190) = ( 196 × 190 ) / 2

LCM(196,190) = 37240 / 2

LCM(196,190) = 18620


Lets's calculate GCF of 68,2976

2 68, 2976
2 34, 1488
17, 744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18620/4

Therefore the LCM of Fractions 196/68,190/2976 is 4655

Greatest Common Factor of 68,2976 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2976 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Greatest Common Factor

We found the factors 68,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2976 is 4.


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 196/68, 190/2976

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 196/68, 190/2976?

Answer: LCM of Numerators as per given numbers 196/68, 190/2976 is

LCM of Numerators i.e. for 196,190 is 18620

GCF of denominators i.e. for 68,2976 is 4.

Thus, LCM of Fractions is 4655.Finally, LCM of Fractions for 196/68, 190/2976 is 4655.