Least Common Multiple of 7399/98, 2734/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7399/98, 2734/428 quickly i.e. 10114433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7399/98, 2734/428 is 10114433.

LCM(7399/98, 2734/428) = 10114433

LCM of 7399/98, 2734/428

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 7399/98,2734/428

Given numbers are 7399/98,2734/428

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 7399,2734

Least Common Multiple of Numerators i.e. LCM of 7399,2734 is 20228866.

GCF of Denominators means GCF of 98,428 as per the given fractions.

GCF of 98,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7399,2734

LCM of Fractions 7399/98,2734/428 is 10114433

Given numbers has no common factors except 1. So, there LCM is their product i.e 20228866

Least Common Multiple of 7399,2734 with GCF Formula

Least Common Multiple of 7399,2734 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 7399,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7399,2734) = 1

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

GCF(7399,2734) x common factors =1 x 1 = 1

LCM(7399,2734) = ( 7399 × 2734 ) / 1

LCM(7399,2734) = 20228866 / 1

LCM(7399,2734) = 20228866


Lets's calculate GCF of 98,428

2 98, 428
49, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20228866/2

Therefore the LCM of Fractions 7399/98,2734/428 is 10114433

Greatest Common Factor of 98,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,428 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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 98,428 . The biggest common factor number is the GCF number.
So the greatest common factor 98,428 is 2.


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Frequently Asked Questions on Fractional LCM of 7399/98, 2734/428

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 7399/98, 2734/428?

Answer: LCM of Numerators as per given numbers 7399/98, 2734/428 is

LCM of Numerators i.e. for 7399,2734 is 20228866

GCF of denominators i.e. for 98,428 is 2.

Thus, LCM of Fractions is 10114433.Finally, LCM of Fractions for 7399/98, 2734/428 is 10114433.