Least Common Multiple of 603/705, 460/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 603/705, 460/424 quickly i.e. 277380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 603/705, 460/424 is 277380.

LCM(603/705, 460/424) = 277380

LCM of 603/705, 460/424

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 603/705,460/424

Given numbers are 603/705,460/424

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 603,460

Least Common Multiple of Numerators i.e. LCM of 603,460 is 277380.

GCF of Denominators means GCF of 705,424 as per the given fractions.

GCF of 705,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 603,460

LCM of Fractions 603/705,460/424 is 277380

Given numbers has no common factors except 1. So, there LCM is their product i.e 277380

Least Common Multiple of 603,460 with GCF Formula

Least Common Multiple of 603,460 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 603,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,460) = 1

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

GCF(603,460) x common factors =1 x 1 = 1

LCM(603,460) = ( 603 × 460 ) / 1

LCM(603,460) = 277380 / 1

LCM(603,460) = 277380


Lets's calculate GCF of 705,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277380/1

Therefore the LCM of Fractions 603/705,460/424 is 277380

Greatest Common Factor of 705,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,424 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 705,424 . The biggest common factor number is the GCF number.
So the greatest common factor 705,424 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 603/705, 460/424

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 603/705, 460/424?

Answer: LCM of Numerators as per given numbers 603/705, 460/424 is

LCM of Numerators i.e. for 603,460 is 277380

GCF of denominators i.e. for 705,424 is 1.

Thus, LCM of Fractions is 277380.Finally, LCM of Fractions for 603/705, 460/424 is 277380.