Least Common Multiple of 978/488, 6465/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/488, 6465/686 quickly i.e. 1053795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/488, 6465/686 is 1053795.

LCM(978/488, 6465/686) = 1053795

LCM of 978/488, 6465/686

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 978/488,6465/686

Given numbers are 978/488,6465/686

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 978,6465

Least Common Multiple of Numerators i.e. LCM of 978,6465 is 2107590.

GCF of Denominators means GCF of 488,686 as per the given fractions.

GCF of 488,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,6465

LCM of Fractions 978/488,6465/686 is 1053795

3 978, 6465
326, 2155

∴ So the LCM of the given numbers is 3 x 326 x 2155 = 2107590

Least Common Multiple of 978,6465 with GCF Formula

Least Common Multiple of 978,6465 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 978,6465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,6465) = 3

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

GCF(978,6465) x common factors =3 x 1 = 3

LCM(978,6465) = ( 978 × 6465 ) / 3

LCM(978,6465) = 6322770 / 3

LCM(978,6465) = 2107590


Lets's calculate GCF of 488,686

2 488, 686
244, 343

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2107590/2

Therefore the LCM of Fractions 978/488,6465/686 is 1053795

Greatest Common Factor of 488,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,686 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 488,686 . The biggest common factor number is the GCF number.
So the greatest common factor 488,686 is 2.


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 978/488, 6465/686

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 978/488, 6465/686?

Answer: LCM of Numerators as per given numbers 978/488, 6465/686 is

LCM of Numerators i.e. for 978,6465 is 2107590

GCF of denominators i.e. for 488,686 is 2.

Thus, LCM of Fractions is 1053795.Finally, LCM of Fractions for 978/488, 6465/686 is 1053795.