Least Common Multiple of 842/98, 3922/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 842/98, 3922/190 quickly i.e. 825581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/98, 3922/190 is 825581.

LCM(842/98, 3922/190) = 825581

LCM of 842/98, 3922/190

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 842/98,3922/190

Given numbers are 842/98,3922/190

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 842,3922

Least Common Multiple of Numerators i.e. LCM of 842,3922 is 1651162.

GCF of Denominators means GCF of 98,190 as per the given fractions.

GCF of 98,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,3922

LCM of Fractions 842/98,3922/190 is 825581

2 842, 3922
421, 1961

∴ So the LCM of the given numbers is 2 x 421 x 1961 = 1651162

Least Common Multiple of 842,3922 with GCF Formula

Least Common Multiple of 842,3922 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 842,3922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,3922) = 2

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

GCF(842,3922) x common factors =2 x 1 = 2

LCM(842,3922) = ( 842 × 3922 ) / 2

LCM(842,3922) = 3302324 / 2

LCM(842,3922) = 1651162


Lets's calculate GCF of 98,190

2 98, 190
49, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1651162/2

Therefore the LCM of Fractions 842/98,3922/190 is 825581

Greatest Common Factor of 98,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,190 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 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 98,190 . The biggest common factor number is the GCF number.
So the greatest common factor 98,190 is 2.


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Frequently Asked Questions on Fractional LCM of 842/98, 3922/190

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 842/98, 3922/190?

Answer: LCM of Numerators as per given numbers 842/98, 3922/190 is

LCM of Numerators i.e. for 842,3922 is 1651162

GCF of denominators i.e. for 98,190 is 2.

Thus, LCM of Fractions is 825581.Finally, LCM of Fractions for 842/98, 3922/190 is 825581.