Least Common Multiple of 22/429, 92/975, 946/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/429, 92/975, 946/183 quickly i.e. 43516/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/429, 92/975, 946/183 is 43516/3.

LCM(22/429, 92/975, 946/183) = 43516/3

LCM of 22/429, 92/975, 946/183

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 22/429,92/975,946/183

Given numbers are 22/429,92/975,946/183

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 22,92,946

Least Common Multiple of Numerators i.e. LCM of 22,92,946 is 43516.

GCF of Denominators means GCF of 429,975,183 as per the given fractions.

GCF of 429,975,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,92,946

LCM of Fractions 22/429,92/975,946/183 is 43516/3

2 22, 92, 946
11 11, 46, 473
1, 46, 43

∴ So the LCM of the given numbers is 2 x 11 x 1 x 46 x 43 = 43516

Least Common Multiple of 22,92,946 with GCF Formula

Least Common Multiple of 22,92,946 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 22,92,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,92,946) = 2

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

GCF(22,92,946) x common factors =2 x 22 = 44

LCM(22,92,946) = ( 22 × 92 × 946 ) / 44

LCM(22,92,946) = 1914704 / 44

LCM(22,92,946) = 43516


Lets's calculate GCF of 429,975,183

3 429, 975, 183
143, 325, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43516/3

Therefore the LCM of Fractions 22/429,92/975,946/183 is 43516/3

Greatest Common Factor of 429,975,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,975,183 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 429,975,183 . The biggest common factor number is the GCF number.
So the greatest common factor 429,975,183 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 22/429, 92/975, 946/183

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 22/429, 92/975, 946/183?

Answer: LCM of Numerators as per given numbers 22/429, 92/975, 946/183 is

LCM of Numerators i.e. for 22,92,946 is 43516

GCF of denominators i.e. for 429,975,183 is 3.

Thus, LCM of Fractions is 43516/3.Finally, LCM of Fractions for 22/429, 92/975, 946/183 is 43516/3.