Least Common Multiple of 962/338, 739/302, 306/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 962/338, 739/302, 306/367 quickly i.e. 108770454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 962/338, 739/302, 306/367 is 108770454.

LCM(962/338, 739/302, 306/367) = 108770454

LCM of 962/338, 739/302, 306/367

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 962/338,739/302,306/367

Given numbers are 962/338,739/302,306/367

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 962,739,306

Least Common Multiple of Numerators i.e. LCM of 962,739,306 is 108770454.

GCF of Denominators means GCF of 338,302,367 as per the given fractions.

GCF of 338,302,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 962,739,306

LCM of Fractions 962/338,739/302,306/367 is 108770454

2 962, 739, 306
481, 739, 153

∴ So the LCM of the given numbers is 2 x 481 x 739 x 153 = 108770454

Least Common Multiple of 962,739,306 with GCF Formula

Least Common Multiple of 962,739,306 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 962,739,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,739,306) = 1

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

GCF(962,739,306) x common factors =1 x 2 = 2

LCM(962,739,306) = ( 962 × 739 × 306 ) / 2

LCM(962,739,306) = 217540908 / 2

LCM(962,739,306) = 108770454


Lets's calculate GCF of 338,302,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108770454/1

Therefore the LCM of Fractions 962/338,739/302,306/367 is 108770454

Greatest Common Factor of 338,302,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,302,367 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 338,302,367 . The biggest common factor number is the GCF number.
So the greatest common factor 338,302,367 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 962/338, 739/302, 306/367

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 962/338, 739/302, 306/367?

Answer: LCM of Numerators as per given numbers 962/338, 739/302, 306/367 is

LCM of Numerators i.e. for 962,739,306 is 108770454

GCF of denominators i.e. for 338,302,367 is 1.

Thus, LCM of Fractions is 108770454.Finally, LCM of Fractions for 962/338, 739/302, 306/367 is 108770454.