Least Common Multiple of 703/350, 572/285, 458/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 703/350, 572/285, 458/253 quickly i.e. 92084564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/350, 572/285, 458/253 is 92084564.

LCM(703/350, 572/285, 458/253) = 92084564

LCM of 703/350, 572/285, 458/253

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 703/350,572/285,458/253

Given numbers are 703/350,572/285,458/253

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 703,572,458

Least Common Multiple of Numerators i.e. LCM of 703,572,458 is 92084564.

GCF of Denominators means GCF of 350,285,253 as per the given fractions.

GCF of 350,285,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,572,458

LCM of Fractions 703/350,572/285,458/253 is 92084564

2 703, 572, 458
703, 286, 229

∴ So the LCM of the given numbers is 2 x 703 x 286 x 229 = 92084564

Least Common Multiple of 703,572,458 with GCF Formula

Least Common Multiple of 703,572,458 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 703,572,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,572,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(703,572,458) x common factors =1 x 2 = 2

LCM(703,572,458) = ( 703 × 572 × 458 ) / 2

LCM(703,572,458) = 184169128 / 2

LCM(703,572,458) = 92084564


Lets's calculate GCF of 350,285,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92084564/1

Therefore the LCM of Fractions 703/350,572/285,458/253 is 92084564

Greatest Common Factor of 350,285,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,285,253 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 350,285,253 . The biggest common factor number is the GCF number.
So the greatest common factor 350,285,253 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 703/350, 572/285, 458/253

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 703/350, 572/285, 458/253?

Answer: LCM of Numerators as per given numbers 703/350, 572/285, 458/253 is

LCM of Numerators i.e. for 703,572,458 is 92084564

GCF of denominators i.e. for 350,285,253 is 1.

Thus, LCM of Fractions is 92084564.Finally, LCM of Fractions for 703/350, 572/285, 458/253 is 92084564.