Least Common Multiple of 196/960, 3850/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/960, 3850/239 quickly i.e. 53900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/960, 3850/239 is 53900.

LCM(196/960, 3850/239) = 53900

LCM of 196/960, 3850/239

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 196/960,3850/239

Given numbers are 196/960,3850/239

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 196,3850

Least Common Multiple of Numerators i.e. LCM of 196,3850 is 53900.

GCF of Denominators means GCF of 960,239 as per the given fractions.

GCF of 960,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,3850

LCM of Fractions 196/960,3850/239 is 53900

2 196, 3850
7 98, 1925
14, 275

∴ So the LCM of the given numbers is 2 x 7 x 14 x 275 = 53900

Least Common Multiple of 196,3850 with GCF Formula

Least Common Multiple of 196,3850 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 196,3850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,3850) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(196,3850) x common factors =14 x 1 = 14

LCM(196,3850) = ( 196 × 3850 ) / 14

LCM(196,3850) = 754600 / 14

LCM(196,3850) = 53900


Lets's calculate GCF of 960,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53900/1

Therefore the LCM of Fractions 196/960,3850/239 is 53900

Greatest Common Factor of 960,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,239 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 960,239 . The biggest common factor number is the GCF number.
So the greatest common factor 960,239 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 196/960, 3850/239

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 196/960, 3850/239?

Answer: LCM of Numerators as per given numbers 196/960, 3850/239 is

LCM of Numerators i.e. for 196,3850 is 53900

GCF of denominators i.e. for 960,239 is 1.

Thus, LCM of Fractions is 53900.Finally, LCM of Fractions for 196/960, 3850/239 is 53900.