Least Common Multiple of 65/101, 38/740, 236/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/101, 38/740, 236/473 quickly i.e. 291460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/101, 38/740, 236/473 is 291460.

LCM(65/101, 38/740, 236/473) = 291460

LCM of 65/101, 38/740, 236/473

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 65/101,38/740,236/473

Given numbers are 65/101,38/740,236/473

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 65,38,236

Least Common Multiple of Numerators i.e. LCM of 65,38,236 is 291460.

GCF of Denominators means GCF of 101,740,473 as per the given fractions.

GCF of 101,740,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,38,236

LCM of Fractions 65/101,38/740,236/473 is 291460

2 65, 38, 236
65, 19, 118

∴ So the LCM of the given numbers is 2 x 65 x 19 x 118 = 291460

Least Common Multiple of 65,38,236 with GCF Formula

Least Common Multiple of 65,38,236 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 65,38,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,38,236) = 1

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

GCF(65,38,236) x common factors =1 x 2 = 2

LCM(65,38,236) = ( 65 × 38 × 236 ) / 2

LCM(65,38,236) = 582920 / 2

LCM(65,38,236) = 291460


Lets's calculate GCF of 101,740,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291460/1

Therefore the LCM of Fractions 65/101,38/740,236/473 is 291460

Greatest Common Factor of 101,740,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,740,473 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 101,740,473 . The biggest common factor number is the GCF number.
So the greatest common factor 101,740,473 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 65/101, 38/740, 236/473

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 65/101, 38/740, 236/473?

Answer: LCM of Numerators as per given numbers 65/101, 38/740, 236/473 is

LCM of Numerators i.e. for 65,38,236 is 291460

GCF of denominators i.e. for 101,740,473 is 1.

Thus, LCM of Fractions is 291460.Finally, LCM of Fractions for 65/101, 38/740, 236/473 is 291460.