Least Common Multiple of 55/196, 638/262, 240/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/196, 638/262, 240/344 quickly i.e. 38280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/196, 638/262, 240/344 is 38280.

LCM(55/196, 638/262, 240/344) = 38280

LCM of 55/196, 638/262, 240/344

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 55/196,638/262,240/344

Given numbers are 55/196,638/262,240/344

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 55,638,240

Least Common Multiple of Numerators i.e. LCM of 55,638,240 is 76560.

GCF of Denominators means GCF of 196,262,344 as per the given fractions.

GCF of 196,262,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,638,240

LCM of Fractions 55/196,638/262,240/344 is 38280

2 55, 638, 240
5 55, 319, 120
11 11, 319, 24
1, 29, 24

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 29 x 24 = 76560

Least Common Multiple of 55,638,240 with GCF Formula

Least Common Multiple of 55,638,240 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 55,638,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,638,240) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(55,638,240) x common factors =1 x 110 = 110

LCM(55,638,240) = ( 55 × 638 × 240 ) / 110

LCM(55,638,240) = 8421600 / 110

LCM(55,638,240) = 76560


Lets's calculate GCF of 196,262,344

2 196, 262, 344
98, 131, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76560/2

Therefore the LCM of Fractions 55/196,638/262,240/344 is 38280

Greatest Common Factor of 196,262,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,262,344 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 196,262,344 . The biggest common factor number is the GCF number.
So the greatest common factor 196,262,344 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 55/196, 638/262, 240/344

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 55/196, 638/262, 240/344?

Answer: LCM of Numerators as per given numbers 55/196, 638/262, 240/344 is

LCM of Numerators i.e. for 55,638,240 is 76560

GCF of denominators i.e. for 196,262,344 is 2.

Thus, LCM of Fractions is 38280.Finally, LCM of Fractions for 55/196, 638/262, 240/344 is 38280.