Least Common Multiple of 43/99, 769/33, 930/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/99, 769/33, 930/306 quickly i.e. 10250770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/99, 769/33, 930/306 is 10250770.

LCM(43/99, 769/33, 930/306) = 10250770

LCM of 43/99, 769/33, 930/306

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 43/99,769/33,930/306

Given numbers are 43/99,769/33,930/306

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 43,769,930

Least Common Multiple of Numerators i.e. LCM of 43,769,930 is 30752310.

GCF of Denominators means GCF of 99,33,306 as per the given fractions.

GCF of 99,33,306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,769,930

LCM of Fractions 43/99,769/33,930/306 is 10250770

Given numbers has no common factors except 1. So, there LCM is their product i.e 30752310

Least Common Multiple of 43,769,930 with GCF Formula

Least Common Multiple of 43,769,930 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 43,769,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,769,930) = 1

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

GCF(43,769,930) x common factors =1 x 1 = 1

LCM(43,769,930) = ( 43 × 769 × 930 ) / 1

LCM(43,769,930) = 30752310 / 1

LCM(43,769,930) = 30752310


Lets's calculate GCF of 99,33,306

3 99, 33, 306
33, 11, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30752310/3

Therefore the LCM of Fractions 43/99,769/33,930/306 is 10250770

Greatest Common Factor of 99,33,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,33,306 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 33

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

1,3,11,33

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 99,33,306 . The biggest common factor number is the GCF number.
So the greatest common factor 99,33,306 is 3.


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Frequently Asked Questions on Fractional LCM of 43/99, 769/33, 930/306

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 43/99, 769/33, 930/306?

Answer: LCM of Numerators as per given numbers 43/99, 769/33, 930/306 is

LCM of Numerators i.e. for 43,769,930 is 30752310

GCF of denominators i.e. for 99,33,306 is 3.

Thus, LCM of Fractions is 10250770.Finally, LCM of Fractions for 43/99, 769/33, 930/306 is 10250770.