Least Common Multiple of 908/70, 144/80, 104/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/70, 144/80, 104/603 quickly i.e. 424944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/70, 144/80, 104/603 is 424944.

LCM(908/70, 144/80, 104/603) = 424944

LCM of 908/70, 144/80, 104/603

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 908/70,144/80,104/603

Given numbers are 908/70,144/80,104/603

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 908,144,104

Least Common Multiple of Numerators i.e. LCM of 908,144,104 is 424944.

GCF of Denominators means GCF of 70,80,603 as per the given fractions.

GCF of 70,80,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,144,104

LCM of Fractions 908/70,144/80,104/603 is 424944

2 908, 144, 104
2 454, 72, 52
2 227, 36, 26
227, 18, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 227 x 18 x 13 = 424944

Least Common Multiple of 908,144,104 with GCF Formula

Least Common Multiple of 908,144,104 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 908,144,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,144,104) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(908,144,104) x common factors =4 x 8 = 32

LCM(908,144,104) = ( 908 × 144 × 104 ) / 32

LCM(908,144,104) = 13598208 / 32

LCM(908,144,104) = 424944


Lets's calculate GCF of 70,80,603

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424944/1

Therefore the LCM of Fractions 908/70,144/80,104/603 is 424944

Greatest Common Factor of 70,80,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,80,603 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 70,80,603 . The biggest common factor number is the GCF number.
So the greatest common factor 70,80,603 is 1.


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 908/70, 144/80, 104/603

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 908/70, 144/80, 104/603?

Answer: LCM of Numerators as per given numbers 908/70, 144/80, 104/603 is

LCM of Numerators i.e. for 908,144,104 is 424944

GCF of denominators i.e. for 70,80,603 is 1.

Thus, LCM of Fractions is 424944.Finally, LCM of Fractions for 908/70, 144/80, 104/603 is 424944.