Least Common Multiple of 74/578, 1607/1683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/578, 1607/1683 quickly i.e. 118918/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/578, 1607/1683 is 118918/17.

LCM(74/578, 1607/1683) = 118918/17

LCM of 74/578, 1607/1683

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 74/578,1607/1683

Given numbers are 74/578,1607/1683

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 74,1607

Least Common Multiple of Numerators i.e. LCM of 74,1607 is 118918.

GCF of Denominators means GCF of 578,1683 as per the given fractions.

GCF of 578,1683 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,1607

LCM of Fractions 74/578,1607/1683 is 118918/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 118918

Least Common Multiple of 74,1607 with GCF Formula

Least Common Multiple of 74,1607 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 74,1607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,1607) = 1

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

GCF(74,1607) x common factors =1 x 1 = 1

LCM(74,1607) = ( 74 × 1607 ) / 1

LCM(74,1607) = 118918 / 1

LCM(74,1607) = 118918


Lets's calculate GCF of 578,1683

17 578, 1683
34, 99

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118918/17

Therefore the LCM of Fractions 74/578,1607/1683 is 118918/17

Greatest Common Factor of 578,1683 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,1683 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 578,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 578,1683 is 17.


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 74/578, 1607/1683

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 74/578, 1607/1683?

Answer: LCM of Numerators as per given numbers 74/578, 1607/1683 is

LCM of Numerators i.e. for 74,1607 is 118918

GCF of denominators i.e. for 578,1683 is 17.

Thus, LCM of Fractions is 118918/17.Finally, LCM of Fractions for 74/578, 1607/1683 is 118918/17.