Least Common Multiple of 1206/654, 5308/7174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1206/654, 5308/7174 quickly i.e. 1600362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1206/654, 5308/7174 is 1600362.

LCM(1206/654, 5308/7174) = 1600362

LCM of 1206/654, 5308/7174

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 1206/654,5308/7174

Given numbers are 1206/654,5308/7174

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 1206,5308

Least Common Multiple of Numerators i.e. LCM of 1206,5308 is 3200724.

GCF of Denominators means GCF of 654,7174 as per the given fractions.

GCF of 654,7174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1206,5308

LCM of Fractions 1206/654,5308/7174 is 1600362

2 1206, 5308
603, 2654

∴ So the LCM of the given numbers is 2 x 603 x 2654 = 3200724

Least Common Multiple of 1206,5308 with GCF Formula

Least Common Multiple of 1206,5308 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 1206,5308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1206,5308) = 2

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

GCF(1206,5308) x common factors =2 x 1 = 2

LCM(1206,5308) = ( 1206 × 5308 ) / 2

LCM(1206,5308) = 6401448 / 2

LCM(1206,5308) = 3200724


Lets's calculate GCF of 654,7174

2 654, 7174
327, 3587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3200724/2

Therefore the LCM of Fractions 1206/654,5308/7174 is 1600362

Greatest Common Factor of 654,7174 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,7174 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1,2,17,34,211,422,3587,7174

Greatest Common Factor

We found the factors 654,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 654,7174 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 1206/654, 5308/7174

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 1206/654, 5308/7174?

Answer: LCM of Numerators as per given numbers 1206/654, 5308/7174 is

LCM of Numerators i.e. for 1206,5308 is 3200724

GCF of denominators i.e. for 654,7174 is 2.

Thus, LCM of Fractions is 1600362.Finally, LCM of Fractions for 1206/654, 5308/7174 is 1600362.