Least Common Multiple of 88/92, 649/82, 314/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/92, 649/82, 314/909 quickly i.e. 815144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/92, 649/82, 314/909 is 815144.

LCM(88/92, 649/82, 314/909) = 815144

LCM of 88/92, 649/82, 314/909

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 88/92,649/82,314/909

Given numbers are 88/92,649/82,314/909

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 88,649,314

Least Common Multiple of Numerators i.e. LCM of 88,649,314 is 815144.

GCF of Denominators means GCF of 92,82,909 as per the given fractions.

GCF of 92,82,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,649,314

LCM of Fractions 88/92,649/82,314/909 is 815144

2 88, 649, 314
11 44, 649, 157
4, 59, 157

∴ So the LCM of the given numbers is 2 x 11 x 4 x 59 x 157 = 815144

Least Common Multiple of 88,649,314 with GCF Formula

Least Common Multiple of 88,649,314 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 88,649,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,649,314) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(88,649,314) x common factors =1 x 22 = 22

LCM(88,649,314) = ( 88 × 649 × 314 ) / 22

LCM(88,649,314) = 17933168 / 22

LCM(88,649,314) = 815144


Lets's calculate GCF of 92,82,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 815144/1

Therefore the LCM of Fractions 88/92,649/82,314/909 is 815144

Greatest Common Factor of 92,82,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,82,909 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 92,82,909 . The biggest common factor number is the GCF number.
So the greatest common factor 92,82,909 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 88/92, 649/82, 314/909

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 88/92, 649/82, 314/909?

Answer: LCM of Numerators as per given numbers 88/92, 649/82, 314/909 is

LCM of Numerators i.e. for 88,649,314 is 815144

GCF of denominators i.e. for 92,82,909 is 1.

Thus, LCM of Fractions is 815144.Finally, LCM of Fractions for 88/92, 649/82, 314/909 is 815144.