Least Common Multiple of 80/74, 39/84, 674/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/74, 39/84, 674/298 quickly i.e. 525720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/74, 39/84, 674/298 is 525720.

LCM(80/74, 39/84, 674/298) = 525720

LCM of 80/74, 39/84, 674/298

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 80/74,39/84,674/298

Given numbers are 80/74,39/84,674/298

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 80,39,674

Least Common Multiple of Numerators i.e. LCM of 80,39,674 is 1051440.

GCF of Denominators means GCF of 74,84,298 as per the given fractions.

GCF of 74,84,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,39,674

LCM of Fractions 80/74,39/84,674/298 is 525720

2 80, 39, 674
40, 39, 337

∴ So the LCM of the given numbers is 2 x 40 x 39 x 337 = 1051440

Least Common Multiple of 80,39,674 with GCF Formula

Least Common Multiple of 80,39,674 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 80,39,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,39,674) = 1

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

GCF(80,39,674) x common factors =1 x 2 = 2

LCM(80,39,674) = ( 80 × 39 × 674 ) / 2

LCM(80,39,674) = 2102880 / 2

LCM(80,39,674) = 1051440


Lets's calculate GCF of 74,84,298

2 74, 84, 298
37, 42, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1051440/2

Therefore the LCM of Fractions 80/74,39/84,674/298 is 525720

Greatest Common Factor of 74,84,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,84,298 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 74,84,298 . The biggest common factor number is the GCF number.
So the greatest common factor 74,84,298 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 80/74, 39/84, 674/298

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 80/74, 39/84, 674/298?

Answer: LCM of Numerators as per given numbers 80/74, 39/84, 674/298 is

LCM of Numerators i.e. for 80,39,674 is 1051440

GCF of denominators i.e. for 74,84,298 is 2.

Thus, LCM of Fractions is 525720.Finally, LCM of Fractions for 80/74, 39/84, 674/298 is 525720.