Least Common Multiple of 81/949, 992/382, 295/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/949, 992/382, 295/135 quickly i.e. 23703840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/949, 992/382, 295/135 is 23703840.

LCM(81/949, 992/382, 295/135) = 23703840

LCM of 81/949, 992/382, 295/135

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 81/949,992/382,295/135

Given numbers are 81/949,992/382,295/135

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 81,992,295

Least Common Multiple of Numerators i.e. LCM of 81,992,295 is 23703840.

GCF of Denominators means GCF of 949,382,135 as per the given fractions.

GCF of 949,382,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,992,295

LCM of Fractions 81/949,992/382,295/135 is 23703840

Given numbers has no common factors except 1. So, there LCM is their product i.e 23703840

Least Common Multiple of 81,992,295 with GCF Formula

Least Common Multiple of 81,992,295 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 81,992,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,992,295) = 1

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

GCF(81,992,295) x common factors =1 x 1 = 1

LCM(81,992,295) = ( 81 × 992 × 295 ) / 1

LCM(81,992,295) = 23703840 / 1

LCM(81,992,295) = 23703840


Lets's calculate GCF of 949,382,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23703840/1

Therefore the LCM of Fractions 81/949,992/382,295/135 is 23703840

Greatest Common Factor of 949,382,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,382,135 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 949,382,135 . The biggest common factor number is the GCF number.
So the greatest common factor 949,382,135 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 81/949, 992/382, 295/135

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 81/949, 992/382, 295/135?

Answer: LCM of Numerators as per given numbers 81/949, 992/382, 295/135 is

LCM of Numerators i.e. for 81,992,295 is 23703840

GCF of denominators i.e. for 949,382,135 is 1.

Thus, LCM of Fractions is 23703840.Finally, LCM of Fractions for 81/949, 992/382, 295/135 is 23703840.