Least Common Multiple of 7738/698, 6323/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7738/698, 6323/461 quickly i.e. 48927374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7738/698, 6323/461 is 48927374.

LCM(7738/698, 6323/461) = 48927374

LCM of 7738/698, 6323/461

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 7738/698,6323/461

Given numbers are 7738/698,6323/461

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 7738,6323

Least Common Multiple of Numerators i.e. LCM of 7738,6323 is 48927374.

GCF of Denominators means GCF of 698,461 as per the given fractions.

GCF of 698,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7738,6323

LCM of Fractions 7738/698,6323/461 is 48927374

Given numbers has no common factors except 1. So, there LCM is their product i.e 48927374

Least Common Multiple of 7738,6323 with GCF Formula

Least Common Multiple of 7738,6323 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 7738,6323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7738,6323) = 1

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

GCF(7738,6323) x common factors =1 x 1 = 1

LCM(7738,6323) = ( 7738 × 6323 ) / 1

LCM(7738,6323) = 48927374 / 1

LCM(7738,6323) = 48927374


Lets's calculate GCF of 698,461

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48927374/1

Therefore the LCM of Fractions 7738/698,6323/461 is 48927374

Greatest Common Factor of 698,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,461 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 698,461 . The biggest common factor number is the GCF number.
So the greatest common factor 698,461 is 1.


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 7738/698, 6323/461

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 7738/698, 6323/461?

Answer: LCM of Numerators as per given numbers 7738/698, 6323/461 is

LCM of Numerators i.e. for 7738,6323 is 48927374

GCF of denominators i.e. for 698,461 is 1.

Thus, LCM of Fractions is 48927374.Finally, LCM of Fractions for 7738/698, 6323/461 is 48927374.