Least Common Multiple of 80/782, 73/888, 378/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/782, 73/888, 378/740 quickly i.e. 551880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/782, 73/888, 378/740 is 551880.

LCM(80/782, 73/888, 378/740) = 551880

LCM of 80/782, 73/888, 378/740

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 80/782,73/888,378/740

Given numbers are 80/782,73/888,378/740

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 80,73,378

Least Common Multiple of Numerators i.e. LCM of 80,73,378 is 1103760.

GCF of Denominators means GCF of 782,888,740 as per the given fractions.

GCF of 782,888,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,73,378

LCM of Fractions 80/782,73/888,378/740 is 551880

2 80, 73, 378
40, 73, 189

∴ So the LCM of the given numbers is 2 x 40 x 73 x 189 = 1103760

Least Common Multiple of 80,73,378 with GCF Formula

Least Common Multiple of 80,73,378 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 80,73,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,73,378) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,73,378) x common factors =1 x 2 = 2

LCM(80,73,378) = ( 80 × 73 × 378 ) / 2

LCM(80,73,378) = 2207520 / 2

LCM(80,73,378) = 1103760


Lets's calculate GCF of 782,888,740

2 782, 888, 740
391, 444, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1103760/2

Therefore the LCM of Fractions 80/782,73/888,378/740 is 551880

Greatest Common Factor of 782,888,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,888,740 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 782,888,740 . The biggest common factor number is the GCF number.
So the greatest common factor 782,888,740 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 80/782, 73/888, 378/740

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 80/782, 73/888, 378/740?

Answer: LCM of Numerators as per given numbers 80/782, 73/888, 378/740 is

LCM of Numerators i.e. for 80,73,378 is 1103760

GCF of denominators i.e. for 782,888,740 is 2.

Thus, LCM of Fractions is 551880.Finally, LCM of Fractions for 80/782, 73/888, 378/740 is 551880.