Least Common Multiple of 78/503, 54/201, 542/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/503, 54/201, 542/148 quickly i.e. 190242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/503, 54/201, 542/148 is 190242.

LCM(78/503, 54/201, 542/148) = 190242

LCM of 78/503, 54/201, 542/148

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 78/503,54/201,542/148

Given numbers are 78/503,54/201,542/148

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 78,54,542

Least Common Multiple of Numerators i.e. LCM of 78,54,542 is 190242.

GCF of Denominators means GCF of 503,201,148 as per the given fractions.

GCF of 503,201,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,54,542

LCM of Fractions 78/503,54/201,542/148 is 190242

2 78, 54, 542
3 39, 27, 271
13, 9, 271

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 271 = 190242

Least Common Multiple of 78,54,542 with GCF Formula

Least Common Multiple of 78,54,542 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 78,54,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,54,542) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,54,542) x common factors =2 x 6 = 12

LCM(78,54,542) = ( 78 × 54 × 542 ) / 12

LCM(78,54,542) = 2282904 / 12

LCM(78,54,542) = 190242


Lets's calculate GCF of 503,201,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190242/1

Therefore the LCM of Fractions 78/503,54/201,542/148 is 190242

Greatest Common Factor of 503,201,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,201,148 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 503,201,148 . The biggest common factor number is the GCF number.
So the greatest common factor 503,201,148 is 1.


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 78/503, 54/201, 542/148

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 78/503, 54/201, 542/148?

Answer: LCM of Numerators as per given numbers 78/503, 54/201, 542/148 is

LCM of Numerators i.e. for 78,54,542 is 190242

GCF of denominators i.e. for 503,201,148 is 1.

Thus, LCM of Fractions is 190242.Finally, LCM of Fractions for 78/503, 54/201, 542/148 is 190242.