Least Common Multiple of 65/42, 181/49, 381/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/42, 181/49, 381/262 quickly i.e. 4482465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/42, 181/49, 381/262 is 4482465.

LCM(65/42, 181/49, 381/262) = 4482465

LCM of 65/42, 181/49, 381/262

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 65/42,181/49,381/262

Given numbers are 65/42,181/49,381/262

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 65,181,381

Least Common Multiple of Numerators i.e. LCM of 65,181,381 is 4482465.

GCF of Denominators means GCF of 42,49,262 as per the given fractions.

GCF of 42,49,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,181,381

LCM of Fractions 65/42,181/49,381/262 is 4482465

Given numbers has no common factors except 1. So, there LCM is their product i.e 4482465

Least Common Multiple of 65,181,381 with GCF Formula

Least Common Multiple of 65,181,381 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 65,181,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,181,381) = 1

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

GCF(65,181,381) x common factors =1 x 1 = 1

LCM(65,181,381) = ( 65 × 181 × 381 ) / 1

LCM(65,181,381) = 4482465 / 1

LCM(65,181,381) = 4482465


Lets's calculate GCF of 42,49,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4482465/1

Therefore the LCM of Fractions 65/42,181/49,381/262 is 4482465

Greatest Common Factor of 42,49,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,49,262 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 262

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

1,2,131,262

Greatest Common Factor

We found the factors 42,49,262 . The biggest common factor number is the GCF number.
So the greatest common factor 42,49,262 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 65/42, 181/49, 381/262

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 65/42, 181/49, 381/262?

Answer: LCM of Numerators as per given numbers 65/42, 181/49, 381/262 is

LCM of Numerators i.e. for 65,181,381 is 4482465

GCF of denominators i.e. for 42,49,262 is 1.

Thus, LCM of Fractions is 4482465.Finally, LCM of Fractions for 65/42, 181/49, 381/262 is 4482465.