Least Common Multiple of 49/42, 634/68, 201/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/42, 634/68, 201/474 quickly i.e. 3122133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/42, 634/68, 201/474 is 3122133.

LCM(49/42, 634/68, 201/474) = 3122133

LCM of 49/42, 634/68, 201/474

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 49/42,634/68,201/474

Given numbers are 49/42,634/68,201/474

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 49,634,201

Least Common Multiple of Numerators i.e. LCM of 49,634,201 is 6244266.

GCF of Denominators means GCF of 42,68,474 as per the given fractions.

GCF of 42,68,474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,634,201

LCM of Fractions 49/42,634/68,201/474 is 3122133

Given numbers has no common factors except 1. So, there LCM is their product i.e 6244266

Least Common Multiple of 49,634,201 with GCF Formula

Least Common Multiple of 49,634,201 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 49,634,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,634,201) = 1

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

GCF(49,634,201) x common factors =1 x 1 = 1

LCM(49,634,201) = ( 49 × 634 × 201 ) / 1

LCM(49,634,201) = 6244266 / 1

LCM(49,634,201) = 6244266


Lets's calculate GCF of 42,68,474

2 42, 68, 474
21, 34, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6244266/2

Therefore the LCM of Fractions 49/42,634/68,201/474 is 3122133

Greatest Common Factor of 42,68,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,68,474 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 42,68,474 . The biggest common factor number is the GCF number.
So the greatest common factor 42,68,474 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 49/42, 634/68, 201/474

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 49/42, 634/68, 201/474?

Answer: LCM of Numerators as per given numbers 49/42, 634/68, 201/474 is

LCM of Numerators i.e. for 49,634,201 is 6244266

GCF of denominators i.e. for 42,68,474 is 2.

Thus, LCM of Fractions is 3122133.Finally, LCM of Fractions for 49/42, 634/68, 201/474 is 3122133.