Least Common Multiple of 49/96, 11/40, 781/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/96, 11/40, 781/435 quickly i.e. 38269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/96, 11/40, 781/435 is 38269.

LCM(49/96, 11/40, 781/435) = 38269

LCM of 49/96, 11/40, 781/435

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 49/96,11/40,781/435

Given numbers are 49/96,11/40,781/435

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 49,11,781

Least Common Multiple of Numerators i.e. LCM of 49,11,781 is 38269.

GCF of Denominators means GCF of 96,40,435 as per the given fractions.

GCF of 96,40,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,11,781

LCM of Fractions 49/96,11/40,781/435 is 38269

11 49, 11, 781
49, 1, 71

∴ So the LCM of the given numbers is 11 x 49 x 1 x 71 = 38269

Least Common Multiple of 49,11,781 with GCF Formula

Least Common Multiple of 49,11,781 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 49,11,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,11,781) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(49,11,781) x common factors =1 x 11 = 11

LCM(49,11,781) = ( 49 × 11 × 781 ) / 11

LCM(49,11,781) = 420959 / 11

LCM(49,11,781) = 38269


Lets's calculate GCF of 96,40,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38269/1

Therefore the LCM of Fractions 49/96,11/40,781/435 is 38269

Greatest Common Factor of 96,40,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,40,435 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 96,40,435 . The biggest common factor number is the GCF number.
So the greatest common factor 96,40,435 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 49/96, 11/40, 781/435

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 49/96, 11/40, 781/435?

Answer: LCM of Numerators as per given numbers 49/96, 11/40, 781/435 is

LCM of Numerators i.e. for 49,11,781 is 38269

GCF of denominators i.e. for 96,40,435 is 1.

Thus, LCM of Fractions is 38269.Finally, LCM of Fractions for 49/96, 11/40, 781/435 is 38269.