Least Common Multiple of 96/307, 570/434, 314/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/307, 570/434, 314/558 quickly i.e. 1431840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/307, 570/434, 314/558 is 1431840.

LCM(96/307, 570/434, 314/558) = 1431840

LCM of 96/307, 570/434, 314/558

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 96/307,570/434,314/558

Given numbers are 96/307,570/434,314/558

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 96,570,314

Least Common Multiple of Numerators i.e. LCM of 96,570,314 is 1431840.

GCF of Denominators means GCF of 307,434,558 as per the given fractions.

GCF of 307,434,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,570,314

LCM of Fractions 96/307,570/434,314/558 is 1431840

2 96, 570, 314
3 48, 285, 157
16, 95, 157

∴ So the LCM of the given numbers is 2 x 3 x 16 x 95 x 157 = 1431840

Least Common Multiple of 96,570,314 with GCF Formula

Least Common Multiple of 96,570,314 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 96,570,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,570,314) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(96,570,314) x common factors =2 x 6 = 12

LCM(96,570,314) = ( 96 × 570 × 314 ) / 12

LCM(96,570,314) = 17182080 / 12

LCM(96,570,314) = 1431840


Lets's calculate GCF of 307,434,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431840/1

Therefore the LCM of Fractions 96/307,570/434,314/558 is 1431840

Greatest Common Factor of 307,434,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,434,558 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 307,434,558 . The biggest common factor number is the GCF number.
So the greatest common factor 307,434,558 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 96/307, 570/434, 314/558

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 96/307, 570/434, 314/558?

Answer: LCM of Numerators as per given numbers 96/307, 570/434, 314/558 is

LCM of Numerators i.e. for 96,570,314 is 1431840

GCF of denominators i.e. for 307,434,558 is 1.

Thus, LCM of Fractions is 1431840.Finally, LCM of Fractions for 96/307, 570/434, 314/558 is 1431840.