Least Common Multiple of 548/58, 242/39, 880/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/58, 242/39, 880/197 quickly i.e. 1326160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/58, 242/39, 880/197 is 1326160.

LCM(548/58, 242/39, 880/197) = 1326160

LCM of 548/58, 242/39, 880/197

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 548/58,242/39,880/197

Given numbers are 548/58,242/39,880/197

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 548,242,880

Least Common Multiple of Numerators i.e. LCM of 548,242,880 is 1326160.

GCF of Denominators means GCF of 58,39,197 as per the given fractions.

GCF of 58,39,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,242,880

LCM of Fractions 548/58,242/39,880/197 is 1326160

2 548, 242, 880
2 274, 121, 440
11 137, 121, 220
137, 11, 20

∴ So the LCM of the given numbers is 2 x 2 x 11 x 137 x 11 x 20 = 1326160

Least Common Multiple of 548,242,880 with GCF Formula

Least Common Multiple of 548,242,880 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 548,242,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,242,880) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(548,242,880) x common factors =2 x 44 = 88

LCM(548,242,880) = ( 548 × 242 × 880 ) / 88

LCM(548,242,880) = 116702080 / 88

LCM(548,242,880) = 1326160


Lets's calculate GCF of 58,39,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326160/1

Therefore the LCM of Fractions 548/58,242/39,880/197 is 1326160

Greatest Common Factor of 58,39,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,39,197 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 58,39,197 . The biggest common factor number is the GCF number.
So the greatest common factor 58,39,197 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 548/58, 242/39, 880/197

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 548/58, 242/39, 880/197?

Answer: LCM of Numerators as per given numbers 548/58, 242/39, 880/197 is

LCM of Numerators i.e. for 548,242,880 is 1326160

GCF of denominators i.e. for 58,39,197 is 1.

Thus, LCM of Fractions is 1326160.Finally, LCM of Fractions for 548/58, 242/39, 880/197 is 1326160.