Least Common Multiple of 140/590, 450/194, 949/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/590, 450/194, 949/492 quickly i.e. 2989350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/590, 450/194, 949/492 is 2989350.

LCM(140/590, 450/194, 949/492) = 2989350

LCM of 140/590, 450/194, 949/492

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 140/590,450/194,949/492

Given numbers are 140/590,450/194,949/492

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 140,450,949

Least Common Multiple of Numerators i.e. LCM of 140,450,949 is 5978700.

GCF of Denominators means GCF of 590,194,492 as per the given fractions.

GCF of 590,194,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,450,949

LCM of Fractions 140/590,450/194,949/492 is 2989350

2 140, 450, 949
5 70, 225, 949
14, 45, 949

∴ So the LCM of the given numbers is 2 x 5 x 14 x 45 x 949 = 5978700

Least Common Multiple of 140,450,949 with GCF Formula

Least Common Multiple of 140,450,949 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 140,450,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,450,949) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(140,450,949) x common factors =1 x 10 = 10

LCM(140,450,949) = ( 140 × 450 × 949 ) / 10

LCM(140,450,949) = 59787000 / 10

LCM(140,450,949) = 5978700


Lets's calculate GCF of 590,194,492

2 590, 194, 492
295, 97, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5978700/2

Therefore the LCM of Fractions 140/590,450/194,949/492 is 2989350

Greatest Common Factor of 590,194,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,194,492 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 590,194,492 . The biggest common factor number is the GCF number.
So the greatest common factor 590,194,492 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 140/590, 450/194, 949/492

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 140/590, 450/194, 949/492?

Answer: LCM of Numerators as per given numbers 140/590, 450/194, 949/492 is

LCM of Numerators i.e. for 140,450,949 is 5978700

GCF of denominators i.e. for 590,194,492 is 2.

Thus, LCM of Fractions is 2989350.Finally, LCM of Fractions for 140/590, 450/194, 949/492 is 2989350.