Least Common Multiple of 68/196, 77/635, 282/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/196, 77/635, 282/140 quickly i.e. 738276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/196, 77/635, 282/140 is 738276.

LCM(68/196, 77/635, 282/140) = 738276

LCM of 68/196, 77/635, 282/140

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 68/196,77/635,282/140

Given numbers are 68/196,77/635,282/140

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 68,77,282

Least Common Multiple of Numerators i.e. LCM of 68,77,282 is 738276.

GCF of Denominators means GCF of 196,635,140 as per the given fractions.

GCF of 196,635,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,77,282

LCM of Fractions 68/196,77/635,282/140 is 738276

2 68, 77, 282
34, 77, 141

∴ So the LCM of the given numbers is 2 x 34 x 77 x 141 = 738276

Least Common Multiple of 68,77,282 with GCF Formula

Least Common Multiple of 68,77,282 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 68,77,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,77,282) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,77,282) x common factors =1 x 2 = 2

LCM(68,77,282) = ( 68 × 77 × 282 ) / 2

LCM(68,77,282) = 1476552 / 2

LCM(68,77,282) = 738276


Lets's calculate GCF of 196,635,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 738276/1

Therefore the LCM of Fractions 68/196,77/635,282/140 is 738276

Greatest Common Factor of 196,635,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,635,140 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 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 196,635,140 . The biggest common factor number is the GCF number.
So the greatest common factor 196,635,140 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 68/196, 77/635, 282/140

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 68/196, 77/635, 282/140?

Answer: LCM of Numerators as per given numbers 68/196, 77/635, 282/140 is

LCM of Numerators i.e. for 68,77,282 is 738276

GCF of denominators i.e. for 196,635,140 is 1.

Thus, LCM of Fractions is 738276.Finally, LCM of Fractions for 68/196, 77/635, 282/140 is 738276.