Least Common Multiple of 1208/430, 1006/5688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1208/430, 1006/5688 quickly i.e. 303812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1208/430, 1006/5688 is 303812.

LCM(1208/430, 1006/5688) = 303812

LCM of 1208/430, 1006/5688

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 1208/430,1006/5688

Given numbers are 1208/430,1006/5688

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 1208,1006

Least Common Multiple of Numerators i.e. LCM of 1208,1006 is 607624.

GCF of Denominators means GCF of 430,5688 as per the given fractions.

GCF of 430,5688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1208,1006

LCM of Fractions 1208/430,1006/5688 is 303812

2 1208, 1006
604, 503

∴ So the LCM of the given numbers is 2 x 604 x 503 = 607624

Least Common Multiple of 1208,1006 with GCF Formula

Least Common Multiple of 1208,1006 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 1208,1006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1208,1006) = 2

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

GCF(1208,1006) x common factors =2 x 1 = 2

LCM(1208,1006) = ( 1208 × 1006 ) / 2

LCM(1208,1006) = 1215248 / 2

LCM(1208,1006) = 607624


Lets's calculate GCF of 430,5688

2 430, 5688
215, 2844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607624/2

Therefore the LCM of Fractions 1208/430,1006/5688 is 303812

Greatest Common Factor of 430,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,5688 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 430,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 430,5688 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 1208/430, 1006/5688

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 1208/430, 1006/5688?

Answer: LCM of Numerators as per given numbers 1208/430, 1006/5688 is

LCM of Numerators i.e. for 1208,1006 is 607624

GCF of denominators i.e. for 430,5688 is 2.

Thus, LCM of Fractions is 303812.Finally, LCM of Fractions for 1208/430, 1006/5688 is 303812.