Least Common Multiple of 495/62, 416/76, 691/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/62, 416/76, 691/489 quickly i.e. 142290720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/62, 416/76, 691/489 is 142290720.

LCM(495/62, 416/76, 691/489) = 142290720

LCM of 495/62, 416/76, 691/489

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 495/62,416/76,691/489

Given numbers are 495/62,416/76,691/489

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 495,416,691

Least Common Multiple of Numerators i.e. LCM of 495,416,691 is 142290720.

GCF of Denominators means GCF of 62,76,489 as per the given fractions.

GCF of 62,76,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,416,691

LCM of Fractions 495/62,416/76,691/489 is 142290720

Given numbers has no common factors except 1. So, there LCM is their product i.e 142290720

Least Common Multiple of 495,416,691 with GCF Formula

Least Common Multiple of 495,416,691 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 495,416,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,416,691) = 1

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

GCF(495,416,691) x common factors =1 x 1 = 1

LCM(495,416,691) = ( 495 × 416 × 691 ) / 1

LCM(495,416,691) = 142290720 / 1

LCM(495,416,691) = 142290720


Lets's calculate GCF of 62,76,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142290720/1

Therefore the LCM of Fractions 495/62,416/76,691/489 is 142290720

Greatest Common Factor of 62,76,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,76,489 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 62,76,489 . The biggest common factor number is the GCF number.
So the greatest common factor 62,76,489 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 495/62, 416/76, 691/489

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 495/62, 416/76, 691/489?

Answer: LCM of Numerators as per given numbers 495/62, 416/76, 691/489 is

LCM of Numerators i.e. for 495,416,691 is 142290720

GCF of denominators i.e. for 62,76,489 is 1.

Thus, LCM of Fractions is 142290720.Finally, LCM of Fractions for 495/62, 416/76, 691/489 is 142290720.