Least Common Multiple of 532/51, 661/46, 842/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/51, 661/46, 842/871 quickly i.e. 148045492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/51, 661/46, 842/871 is 148045492.

LCM(532/51, 661/46, 842/871) = 148045492

LCM of 532/51, 661/46, 842/871

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 532/51,661/46,842/871

Given numbers are 532/51,661/46,842/871

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 532,661,842

Least Common Multiple of Numerators i.e. LCM of 532,661,842 is 148045492.

GCF of Denominators means GCF of 51,46,871 as per the given fractions.

GCF of 51,46,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,661,842

LCM of Fractions 532/51,661/46,842/871 is 148045492

2 532, 661, 842
266, 661, 421

∴ So the LCM of the given numbers is 2 x 266 x 661 x 421 = 148045492

Least Common Multiple of 532,661,842 with GCF Formula

Least Common Multiple of 532,661,842 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 532,661,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,661,842) = 1

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

GCF(532,661,842) x common factors =1 x 2 = 2

LCM(532,661,842) = ( 532 × 661 × 842 ) / 2

LCM(532,661,842) = 296090984 / 2

LCM(532,661,842) = 148045492


Lets's calculate GCF of 51,46,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148045492/1

Therefore the LCM of Fractions 532/51,661/46,842/871 is 148045492

Greatest Common Factor of 51,46,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,46,871 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 51,46,871 . The biggest common factor number is the GCF number.
So the greatest common factor 51,46,871 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 532/51, 661/46, 842/871

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 532/51, 661/46, 842/871?

Answer: LCM of Numerators as per given numbers 532/51, 661/46, 842/871 is

LCM of Numerators i.e. for 532,661,842 is 148045492

GCF of denominators i.e. for 51,46,871 is 1.

Thus, LCM of Fractions is 148045492.Finally, LCM of Fractions for 532/51, 661/46, 842/871 is 148045492.