Least Common Multiple of 23/803, 762/521, 142/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/803, 762/521, 142/116 quickly i.e. 1244346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/803, 762/521, 142/116 is 1244346.

LCM(23/803, 762/521, 142/116) = 1244346

LCM of 23/803, 762/521, 142/116

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 23/803,762/521,142/116

Given numbers are 23/803,762/521,142/116

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 23,762,142

Least Common Multiple of Numerators i.e. LCM of 23,762,142 is 1244346.

GCF of Denominators means GCF of 803,521,116 as per the given fractions.

GCF of 803,521,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,762,142

LCM of Fractions 23/803,762/521,142/116 is 1244346

2 23, 762, 142
23, 381, 71

∴ So the LCM of the given numbers is 2 x 23 x 381 x 71 = 1244346

Least Common Multiple of 23,762,142 with GCF Formula

Least Common Multiple of 23,762,142 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 23,762,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,762,142) = 1

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

GCF(23,762,142) x common factors =1 x 2 = 2

LCM(23,762,142) = ( 23 × 762 × 142 ) / 2

LCM(23,762,142) = 2488692 / 2

LCM(23,762,142) = 1244346


Lets's calculate GCF of 803,521,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1244346/1

Therefore the LCM of Fractions 23/803,762/521,142/116 is 1244346

Greatest Common Factor of 803,521,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,521,116 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 803,521,116 . The biggest common factor number is the GCF number.
So the greatest common factor 803,521,116 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 23/803, 762/521, 142/116

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 23/803, 762/521, 142/116?

Answer: LCM of Numerators as per given numbers 23/803, 762/521, 142/116 is

LCM of Numerators i.e. for 23,762,142 is 1244346

GCF of denominators i.e. for 803,521,116 is 1.

Thus, LCM of Fractions is 1244346.Finally, LCM of Fractions for 23/803, 762/521, 142/116 is 1244346.