Least Common Multiple of 78/70, 63/80, 630/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/70, 63/80, 630/499 quickly i.e. 8190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/70, 63/80, 630/499 is 8190.

LCM(78/70, 63/80, 630/499) = 8190

LCM of 78/70, 63/80, 630/499

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 78/70,63/80,630/499

Given numbers are 78/70,63/80,630/499

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 78,63,630

Least Common Multiple of Numerators i.e. LCM of 78,63,630 is 8190.

GCF of Denominators means GCF of 70,80,499 as per the given fractions.

GCF of 70,80,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,63,630

LCM of Fractions 78/70,63/80,630/499 is 8190

2 78, 63, 630
3 39, 63, 315
3 13, 21, 105
7 13, 7, 35
13, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 13 x 1 x 5 = 8190

Least Common Multiple of 78,63,630 with GCF Formula

Least Common Multiple of 78,63,630 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 78,63,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,63,630) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(78,63,630) x common factors =3 x 126 = 378

LCM(78,63,630) = ( 78 × 63 × 630 ) / 378

LCM(78,63,630) = 3095820 / 378

LCM(78,63,630) = 8190


Lets's calculate GCF of 70,80,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8190/1

Therefore the LCM of Fractions 78/70,63/80,630/499 is 8190

Greatest Common Factor of 70,80,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,80,499 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 70,80,499 . The biggest common factor number is the GCF number.
So the greatest common factor 70,80,499 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 78/70, 63/80, 630/499

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 78/70, 63/80, 630/499?

Answer: LCM of Numerators as per given numbers 78/70, 63/80, 630/499 is

LCM of Numerators i.e. for 78,63,630 is 8190

GCF of denominators i.e. for 70,80,499 is 1.

Thus, LCM of Fractions is 8190.Finally, LCM of Fractions for 78/70, 63/80, 630/499 is 8190.