Least Common Multiple of 283/132, 332/707, 434/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/132, 332/707, 434/754 quickly i.e. 20388452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/132, 332/707, 434/754 is 20388452.

LCM(283/132, 332/707, 434/754) = 20388452

LCM of 283/132, 332/707, 434/754

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 283/132,332/707,434/754

Given numbers are 283/132,332/707,434/754

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 283,332,434

Least Common Multiple of Numerators i.e. LCM of 283,332,434 is 20388452.

GCF of Denominators means GCF of 132,707,754 as per the given fractions.

GCF of 132,707,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,332,434

LCM of Fractions 283/132,332/707,434/754 is 20388452

2 283, 332, 434
283, 166, 217

∴ So the LCM of the given numbers is 2 x 283 x 166 x 217 = 20388452

Least Common Multiple of 283,332,434 with GCF Formula

Least Common Multiple of 283,332,434 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 283,332,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,332,434) = 1

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

GCF(283,332,434) x common factors =1 x 2 = 2

LCM(283,332,434) = ( 283 × 332 × 434 ) / 2

LCM(283,332,434) = 40776904 / 2

LCM(283,332,434) = 20388452


Lets's calculate GCF of 132,707,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20388452/1

Therefore the LCM of Fractions 283/132,332/707,434/754 is 20388452

Greatest Common Factor of 132,707,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,707,754 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 132,707,754 . The biggest common factor number is the GCF number.
So the greatest common factor 132,707,754 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 283/132, 332/707, 434/754

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 283/132, 332/707, 434/754?

Answer: LCM of Numerators as per given numbers 283/132, 332/707, 434/754 is

LCM of Numerators i.e. for 283,332,434 is 20388452

GCF of denominators i.e. for 132,707,754 is 1.

Thus, LCM of Fractions is 20388452.Finally, LCM of Fractions for 283/132, 332/707, 434/754 is 20388452.