Least Common Multiple of 71/51, 46/98, 420/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/51, 46/98, 420/803 quickly i.e. 685860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/51, 46/98, 420/803 is 685860.

LCM(71/51, 46/98, 420/803) = 685860

LCM of 71/51, 46/98, 420/803

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 71/51,46/98,420/803

Given numbers are 71/51,46/98,420/803

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 71,46,420

Least Common Multiple of Numerators i.e. LCM of 71,46,420 is 685860.

GCF of Denominators means GCF of 51,98,803 as per the given fractions.

GCF of 51,98,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,46,420

LCM of Fractions 71/51,46/98,420/803 is 685860

2 71, 46, 420
71, 23, 210

∴ So the LCM of the given numbers is 2 x 71 x 23 x 210 = 685860

Least Common Multiple of 71,46,420 with GCF Formula

Least Common Multiple of 71,46,420 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 71,46,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,46,420) = 1

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

GCF(71,46,420) x common factors =1 x 2 = 2

LCM(71,46,420) = ( 71 × 46 × 420 ) / 2

LCM(71,46,420) = 1371720 / 2

LCM(71,46,420) = 685860


Lets's calculate GCF of 51,98,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 685860/1

Therefore the LCM of Fractions 71/51,46/98,420/803 is 685860

Greatest Common Factor of 51,98,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,98,803 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 803

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

1,11,73,803

Greatest Common Factor

We found the factors 51,98,803 . The biggest common factor number is the GCF number.
So the greatest common factor 51,98,803 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 71/51, 46/98, 420/803

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 71/51, 46/98, 420/803?

Answer: LCM of Numerators as per given numbers 71/51, 46/98, 420/803 is

LCM of Numerators i.e. for 71,46,420 is 685860

GCF of denominators i.e. for 51,98,803 is 1.

Thus, LCM of Fractions is 685860.Finally, LCM of Fractions for 71/51, 46/98, 420/803 is 685860.