Least Common Multiple of 140/476, 7932/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 140/476, 7932/193 quickly i.e. 277620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/476, 7932/193 is 277620.

LCM(140/476, 7932/193) = 277620

LCM of 140/476, 7932/193

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 140/476,7932/193

Given numbers are 140/476,7932/193

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 140,7932

Least Common Multiple of Numerators i.e. LCM of 140,7932 is 277620.

GCF of Denominators means GCF of 476,193 as per the given fractions.

GCF of 476,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,7932

LCM of Fractions 140/476,7932/193 is 277620

2 140, 7932
2 70, 3966
35, 1983

∴ So the LCM of the given numbers is 2 x 2 x 35 x 1983 = 277620

Least Common Multiple of 140,7932 with GCF Formula

Least Common Multiple of 140,7932 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 140,7932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,7932) = 4

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

GCF(140,7932) x common factors =4 x 1 = 4

LCM(140,7932) = ( 140 × 7932 ) / 4

LCM(140,7932) = 1110480 / 4

LCM(140,7932) = 277620


Lets's calculate GCF of 476,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277620/1

Therefore the LCM of Fractions 140/476,7932/193 is 277620

Greatest Common Factor of 476,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,193 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 476,193 . The biggest common factor number is the GCF number.
So the greatest common factor 476,193 is 1.


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 140/476, 7932/193

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 140/476, 7932/193?

Answer: LCM of Numerators as per given numbers 140/476, 7932/193 is

LCM of Numerators i.e. for 140,7932 is 277620

GCF of denominators i.e. for 476,193 is 1.

Thus, LCM of Fractions is 277620.Finally, LCM of Fractions for 140/476, 7932/193 is 277620.