Least Common Multiple of 394/78, 830/60, 268/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/78, 830/60, 268/148 quickly i.e. 10955170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/78, 830/60, 268/148 is 10955170.

LCM(394/78, 830/60, 268/148) = 10955170

LCM of 394/78, 830/60, 268/148

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 394/78,830/60,268/148

Given numbers are 394/78,830/60,268/148

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 394,830,268

Least Common Multiple of Numerators i.e. LCM of 394,830,268 is 21910340.

GCF of Denominators means GCF of 78,60,148 as per the given fractions.

GCF of 78,60,148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,830,268

LCM of Fractions 394/78,830/60,268/148 is 10955170

2 394, 830, 268
197, 415, 134

∴ So the LCM of the given numbers is 2 x 197 x 415 x 134 = 21910340

Least Common Multiple of 394,830,268 with GCF Formula

Least Common Multiple of 394,830,268 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 394,830,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,830,268) = 2

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

GCF(394,830,268) x common factors =2 x 2 = 4

LCM(394,830,268) = ( 394 × 830 × 268 ) / 4

LCM(394,830,268) = 87641360 / 4

LCM(394,830,268) = 21910340


Lets's calculate GCF of 78,60,148

2 78, 60, 148
39, 30, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21910340/2

Therefore the LCM of Fractions 394/78,830/60,268/148 is 10955170

Greatest Common Factor of 78,60,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,60,148 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

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 78,60,148 . The biggest common factor number is the GCF number.
So the greatest common factor 78,60,148 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 394/78, 830/60, 268/148

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 394/78, 830/60, 268/148?

Answer: LCM of Numerators as per given numbers 394/78, 830/60, 268/148 is

LCM of Numerators i.e. for 394,830,268 is 21910340

GCF of denominators i.e. for 78,60,148 is 2.

Thus, LCM of Fractions is 10955170.Finally, LCM of Fractions for 394/78, 830/60, 268/148 is 10955170.