Least Common Multiple of 674/60, 354/6782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/60, 354/6782 quickly i.e. 59649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/60, 354/6782 is 59649.

LCM(674/60, 354/6782) = 59649

LCM of 674/60, 354/6782

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 674/60,354/6782

Given numbers are 674/60,354/6782

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 674,354

Least Common Multiple of Numerators i.e. LCM of 674,354 is 119298.

GCF of Denominators means GCF of 60,6782 as per the given fractions.

GCF of 60,6782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,354

LCM of Fractions 674/60,354/6782 is 59649

2 674, 354
337, 177

∴ So the LCM of the given numbers is 2 x 337 x 177 = 119298

Least Common Multiple of 674,354 with GCF Formula

Least Common Multiple of 674,354 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 674,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,354) = 2

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

GCF(674,354) x common factors =2 x 1 = 2

LCM(674,354) = ( 674 × 354 ) / 2

LCM(674,354) = 238596 / 2

LCM(674,354) = 119298


Lets's calculate GCF of 60,6782

2 60, 6782
30, 3391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119298/2

Therefore the LCM of Fractions 674/60,354/6782 is 59649

Greatest Common Factor of 60,6782 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,6782 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1,2,3391,6782

Greatest Common Factor

We found the factors 60,6782 . The biggest common factor number is the GCF number.
So the greatest common factor 60,6782 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 674/60, 354/6782

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 674/60, 354/6782?

Answer: LCM of Numerators as per given numbers 674/60, 354/6782 is

LCM of Numerators i.e. for 674,354 is 119298

GCF of denominators i.e. for 60,6782 is 2.

Thus, LCM of Fractions is 59649.Finally, LCM of Fractions for 674/60, 354/6782 is 59649.