Least Common Multiple of 7738/194, 1901/5022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7738/194, 1901/5022 quickly i.e. 7354969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7738/194, 1901/5022 is 7354969.

LCM(7738/194, 1901/5022) = 7354969

LCM of 7738/194, 1901/5022

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 7738/194,1901/5022

Given numbers are 7738/194,1901/5022

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 7738,1901

Least Common Multiple of Numerators i.e. LCM of 7738,1901 is 14709938.

GCF of Denominators means GCF of 194,5022 as per the given fractions.

GCF of 194,5022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7738,1901

LCM of Fractions 7738/194,1901/5022 is 7354969

Given numbers has no common factors except 1. So, there LCM is their product i.e 14709938

Least Common Multiple of 7738,1901 with GCF Formula

Least Common Multiple of 7738,1901 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 7738,1901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7738,1901) = 1

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

GCF(7738,1901) x common factors =1 x 1 = 1

LCM(7738,1901) = ( 7738 × 1901 ) / 1

LCM(7738,1901) = 14709938 / 1

LCM(7738,1901) = 14709938


Lets's calculate GCF of 194,5022

2 194, 5022
97, 2511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14709938/2

Therefore the LCM of Fractions 7738/194,1901/5022 is 7354969

Greatest Common Factor of 194,5022 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,5022 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022

Greatest Common Factor

We found the factors 194,5022 . The biggest common factor number is the GCF number.
So the greatest common factor 194,5022 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 7738/194, 1901/5022

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 7738/194, 1901/5022?

Answer: LCM of Numerators as per given numbers 7738/194, 1901/5022 is

LCM of Numerators i.e. for 7738,1901 is 14709938

GCF of denominators i.e. for 194,5022 is 2.

Thus, LCM of Fractions is 7354969.Finally, LCM of Fractions for 7738/194, 1901/5022 is 7354969.