Least Common Multiple of 77/33, 72/99, 746/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/33, 72/99, 746/102 quickly i.e. 689304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/33, 72/99, 746/102 is 689304.

LCM(77/33, 72/99, 746/102) = 689304

LCM of 77/33, 72/99, 746/102

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 77/33,72/99,746/102

Given numbers are 77/33,72/99,746/102

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 77,72,746

Least Common Multiple of Numerators i.e. LCM of 77,72,746 is 2067912.

GCF of Denominators means GCF of 33,99,102 as per the given fractions.

GCF of 33,99,102 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,72,746

LCM of Fractions 77/33,72/99,746/102 is 689304

2 77, 72, 746
77, 36, 373

∴ So the LCM of the given numbers is 2 x 77 x 36 x 373 = 2067912

Least Common Multiple of 77,72,746 with GCF Formula

Least Common Multiple of 77,72,746 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 77,72,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,72,746) = 1

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

GCF(77,72,746) x common factors =1 x 2 = 2

LCM(77,72,746) = ( 77 × 72 × 746 ) / 2

LCM(77,72,746) = 4135824 / 2

LCM(77,72,746) = 2067912


Lets's calculate GCF of 33,99,102

3 33, 99, 102
11, 33, 34

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2067912/3

Therefore the LCM of Fractions 77/33,72/99,746/102 is 689304

Greatest Common Factor of 33,99,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,99,102 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 33,99,102 . The biggest common factor number is the GCF number.
So the greatest common factor 33,99,102 is 3.


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 77/33, 72/99, 746/102

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 77/33, 72/99, 746/102?

Answer: LCM of Numerators as per given numbers 77/33, 72/99, 746/102 is

LCM of Numerators i.e. for 77,72,746 is 2067912

GCF of denominators i.e. for 33,99,102 is 3.

Thus, LCM of Fractions is 689304.Finally, LCM of Fractions for 77/33, 72/99, 746/102 is 689304.