Least Common Multiple of 49/57, 638/67, 425/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/57, 638/67, 425/202 quickly i.e. 13286350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/57, 638/67, 425/202 is 13286350.

LCM(49/57, 638/67, 425/202) = 13286350

LCM of 49/57, 638/67, 425/202

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 49/57,638/67,425/202

Given numbers are 49/57,638/67,425/202

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 49,638,425

Least Common Multiple of Numerators i.e. LCM of 49,638,425 is 13286350.

GCF of Denominators means GCF of 57,67,202 as per the given fractions.

GCF of 57,67,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,638,425

LCM of Fractions 49/57,638/67,425/202 is 13286350

Given numbers has no common factors except 1. So, there LCM is their product i.e 13286350

Least Common Multiple of 49,638,425 with GCF Formula

Least Common Multiple of 49,638,425 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 49,638,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,638,425) = 1

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

GCF(49,638,425) x common factors =1 x 1 = 1

LCM(49,638,425) = ( 49 × 638 × 425 ) / 1

LCM(49,638,425) = 13286350 / 1

LCM(49,638,425) = 13286350


Lets's calculate GCF of 57,67,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13286350/1

Therefore the LCM of Fractions 49/57,638/67,425/202 is 13286350

Greatest Common Factor of 57,67,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,67,202 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 57,67,202 . The biggest common factor number is the GCF number.
So the greatest common factor 57,67,202 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/57, 638/67, 425/202

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 49/57, 638/67, 425/202?

Answer: LCM of Numerators as per given numbers 49/57, 638/67, 425/202 is

LCM of Numerators i.e. for 49,638,425 is 13286350

GCF of denominators i.e. for 57,67,202 is 1.

Thus, LCM of Fractions is 13286350.Finally, LCM of Fractions for 49/57, 638/67, 425/202 is 13286350.