Least Common Multiple of 733/85, 826/33, 988/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/85, 826/33, 988/953 quickly i.e. 299096252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/85, 826/33, 988/953 is 299096252.

LCM(733/85, 826/33, 988/953) = 299096252

LCM of 733/85, 826/33, 988/953

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 733/85,826/33,988/953

Given numbers are 733/85,826/33,988/953

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 733,826,988

Least Common Multiple of Numerators i.e. LCM of 733,826,988 is 299096252.

GCF of Denominators means GCF of 85,33,953 as per the given fractions.

GCF of 85,33,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,826,988

LCM of Fractions 733/85,826/33,988/953 is 299096252

2 733, 826, 988
733, 413, 494

∴ So the LCM of the given numbers is 2 x 733 x 413 x 494 = 299096252

Least Common Multiple of 733,826,988 with GCF Formula

Least Common Multiple of 733,826,988 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 733,826,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,826,988) = 1

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

GCF(733,826,988) x common factors =1 x 2 = 2

LCM(733,826,988) = ( 733 × 826 × 988 ) / 2

LCM(733,826,988) = 598192504 / 2

LCM(733,826,988) = 299096252


Lets's calculate GCF of 85,33,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299096252/1

Therefore the LCM of Fractions 733/85,826/33,988/953 is 299096252

Greatest Common Factor of 85,33,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,33,953 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 85,33,953 . The biggest common factor number is the GCF number.
So the greatest common factor 85,33,953 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 733/85, 826/33, 988/953

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 733/85, 826/33, 988/953?

Answer: LCM of Numerators as per given numbers 733/85, 826/33, 988/953 is

LCM of Numerators i.e. for 733,826,988 is 299096252

GCF of denominators i.e. for 85,33,953 is 1.

Thus, LCM of Fractions is 299096252.Finally, LCM of Fractions for 733/85, 826/33, 988/953 is 299096252.