Least Common Multiple of 62/90, 87/67, 761/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/90, 87/67, 761/489 quickly i.e. 4104834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/90, 87/67, 761/489 is 4104834.

LCM(62/90, 87/67, 761/489) = 4104834

LCM of 62/90, 87/67, 761/489

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 62/90,87/67,761/489

Given numbers are 62/90,87/67,761/489

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 62,87,761

Least Common Multiple of Numerators i.e. LCM of 62,87,761 is 4104834.

GCF of Denominators means GCF of 90,67,489 as per the given fractions.

GCF of 90,67,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,87,761

LCM of Fractions 62/90,87/67,761/489 is 4104834

Given numbers has no common factors except 1. So, there LCM is their product i.e 4104834

Least Common Multiple of 62,87,761 with GCF Formula

Least Common Multiple of 62,87,761 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 62,87,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,87,761) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(62,87,761) x common factors =1 x 1 = 1

LCM(62,87,761) = ( 62 × 87 × 761 ) / 1

LCM(62,87,761) = 4104834 / 1

LCM(62,87,761) = 4104834


Lets's calculate GCF of 90,67,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4104834/1

Therefore the LCM of Fractions 62/90,87/67,761/489 is 4104834

Greatest Common Factor of 90,67,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,67,489 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 90,67,489 . The biggest common factor number is the GCF number.
So the greatest common factor 90,67,489 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/90, 87/67, 761/489

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 62/90, 87/67, 761/489?

Answer: LCM of Numerators as per given numbers 62/90, 87/67, 761/489 is

LCM of Numerators i.e. for 62,87,761 is 4104834

GCF of denominators i.e. for 90,67,489 is 1.

Thus, LCM of Fractions is 4104834.Finally, LCM of Fractions for 62/90, 87/67, 761/489 is 4104834.