Least Common Multiple of 43/30, 923/94, 222/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/30, 923/94, 222/596 quickly i.e. 4405479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/30, 923/94, 222/596 is 4405479.

LCM(43/30, 923/94, 222/596) = 4405479

LCM of 43/30, 923/94, 222/596

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 43/30,923/94,222/596

Given numbers are 43/30,923/94,222/596

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 43,923,222

Least Common Multiple of Numerators i.e. LCM of 43,923,222 is 8810958.

GCF of Denominators means GCF of 30,94,596 as per the given fractions.

GCF of 30,94,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,923,222

LCM of Fractions 43/30,923/94,222/596 is 4405479

Given numbers has no common factors except 1. So, there LCM is their product i.e 8810958

Least Common Multiple of 43,923,222 with GCF Formula

Least Common Multiple of 43,923,222 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 43,923,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,923,222) = 1

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

GCF(43,923,222) x common factors =1 x 1 = 1

LCM(43,923,222) = ( 43 × 923 × 222 ) / 1

LCM(43,923,222) = 8810958 / 1

LCM(43,923,222) = 8810958


Lets's calculate GCF of 30,94,596

2 30, 94, 596
15, 47, 298

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8810958/2

Therefore the LCM of Fractions 43/30,923/94,222/596 is 4405479

Greatest Common Factor of 30,94,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,94,596 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 30,94,596 . The biggest common factor number is the GCF number.
So the greatest common factor 30,94,596 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 43/30, 923/94, 222/596

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 43/30, 923/94, 222/596?

Answer: LCM of Numerators as per given numbers 43/30, 923/94, 222/596 is

LCM of Numerators i.e. for 43,923,222 is 8810958

GCF of denominators i.e. for 30,94,596 is 2.

Thus, LCM of Fractions is 4405479.Finally, LCM of Fractions for 43/30, 923/94, 222/596 is 4405479.