Least Common Multiple of 354/302, 7553/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 354/302, 7553/424 quickly i.e. 1336881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/302, 7553/424 is 1336881.

LCM(354/302, 7553/424) = 1336881

LCM of 354/302, 7553/424

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 354/302,7553/424

Given numbers are 354/302,7553/424

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 354,7553

Least Common Multiple of Numerators i.e. LCM of 354,7553 is 2673762.

GCF of Denominators means GCF of 302,424 as per the given fractions.

GCF of 302,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,7553

LCM of Fractions 354/302,7553/424 is 1336881

Given numbers has no common factors except 1. So, there LCM is their product i.e 2673762

Least Common Multiple of 354,7553 with GCF Formula

Least Common Multiple of 354,7553 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 354,7553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,7553) = 1

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

GCF(354,7553) x common factors =1 x 1 = 1

LCM(354,7553) = ( 354 × 7553 ) / 1

LCM(354,7553) = 2673762 / 1

LCM(354,7553) = 2673762


Lets's calculate GCF of 302,424

2 302, 424
151, 212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2673762/2

Therefore the LCM of Fractions 354/302,7553/424 is 1336881

Greatest Common Factor of 302,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,424 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 302,424 . The biggest common factor number is the GCF number.
So the greatest common factor 302,424 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 354/302, 7553/424

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 354/302, 7553/424?

Answer: LCM of Numerators as per given numbers 354/302, 7553/424 is

LCM of Numerators i.e. for 354,7553 is 2673762

GCF of denominators i.e. for 302,424 is 2.

Thus, LCM of Fractions is 1336881.Finally, LCM of Fractions for 354/302, 7553/424 is 1336881.