Least Common Multiple of 196/98, 458/4180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/98, 458/4180 quickly i.e. 22442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/98, 458/4180 is 22442.

LCM(196/98, 458/4180) = 22442

LCM of 196/98, 458/4180

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 196/98,458/4180

Given numbers are 196/98,458/4180

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 196,458

Least Common Multiple of Numerators i.e. LCM of 196,458 is 44884.

GCF of Denominators means GCF of 98,4180 as per the given fractions.

GCF of 98,4180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,458

LCM of Fractions 196/98,458/4180 is 22442

2 196, 458
98, 229

∴ So the LCM of the given numbers is 2 x 98 x 229 = 44884

Least Common Multiple of 196,458 with GCF Formula

Least Common Multiple of 196,458 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 196,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,458) = 2

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

GCF(196,458) x common factors =2 x 1 = 2

LCM(196,458) = ( 196 × 458 ) / 2

LCM(196,458) = 89768 / 2

LCM(196,458) = 44884


Lets's calculate GCF of 98,4180

2 98, 4180
49, 2090

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44884/2

Therefore the LCM of Fractions 196/98,458/4180 is 22442

Greatest Common Factor of 98,4180 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,4180 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 98,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4180 is 2.


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 196/98, 458/4180

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 196/98, 458/4180?

Answer: LCM of Numerators as per given numbers 196/98, 458/4180 is

LCM of Numerators i.e. for 196,458 is 44884

GCF of denominators i.e. for 98,4180 is 2.

Thus, LCM of Fractions is 22442.Finally, LCM of Fractions for 196/98, 458/4180 is 22442.