Least Common Multiple of 90/48, 85/681, 810/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/48, 85/681, 810/471 quickly i.e. 4590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/48, 85/681, 810/471 is 4590.

LCM(90/48, 85/681, 810/471) = 4590

LCM of 90/48, 85/681, 810/471

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 90/48,85/681,810/471

Given numbers are 90/48,85/681,810/471

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 90,85,810

Least Common Multiple of Numerators i.e. LCM of 90,85,810 is 13770.

GCF of Denominators means GCF of 48,681,471 as per the given fractions.

GCF of 48,681,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,85,810

LCM of Fractions 90/48,85/681,810/471 is 4590

2 90, 85, 810
3 45, 85, 405
3 15, 85, 135
5 5, 85, 45
1, 17, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 17 x 9 = 13770

Least Common Multiple of 90,85,810 with GCF Formula

Least Common Multiple of 90,85,810 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 90,85,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,85,810) = 5

common factors(in case of two or more numbers have common factors) = 90

GCF(90,85,810) x common factors =5 x 90 = 450

LCM(90,85,810) = ( 90 × 85 × 810 ) / 450

LCM(90,85,810) = 6196500 / 450

LCM(90,85,810) = 13770


Lets's calculate GCF of 48,681,471

3 48, 681, 471
16, 227, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13770/3

Therefore the LCM of Fractions 90/48,85/681,810/471 is 4590

Greatest Common Factor of 48,681,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,681,471 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 48,681,471 . The biggest common factor number is the GCF number.
So the greatest common factor 48,681,471 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 90/48, 85/681, 810/471

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 90/48, 85/681, 810/471?

Answer: LCM of Numerators as per given numbers 90/48, 85/681, 810/471 is

LCM of Numerators i.e. for 90,85,810 is 13770

GCF of denominators i.e. for 48,681,471 is 3.

Thus, LCM of Fractions is 4590.Finally, LCM of Fractions for 90/48, 85/681, 810/471 is 4590.