Least Common Multiple of 96/214, 726/427, 565/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/214, 726/427, 565/950 quickly i.e. 6563040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/214, 726/427, 565/950 is 6563040.

LCM(96/214, 726/427, 565/950) = 6563040

LCM of 96/214, 726/427, 565/950

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 96/214,726/427,565/950

Given numbers are 96/214,726/427,565/950

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 96,726,565

Least Common Multiple of Numerators i.e. LCM of 96,726,565 is 6563040.

GCF of Denominators means GCF of 214,427,950 as per the given fractions.

GCF of 214,427,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,726,565

LCM of Fractions 96/214,726/427,565/950 is 6563040

2 96, 726, 565
3 48, 363, 565
16, 121, 565

∴ So the LCM of the given numbers is 2 x 3 x 16 x 121 x 565 = 6563040

Least Common Multiple of 96,726,565 with GCF Formula

Least Common Multiple of 96,726,565 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 96,726,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,726,565) = 1

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

GCF(96,726,565) x common factors =1 x 6 = 6

LCM(96,726,565) = ( 96 × 726 × 565 ) / 6

LCM(96,726,565) = 39378240 / 6

LCM(96,726,565) = 6563040


Lets's calculate GCF of 214,427,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6563040/1

Therefore the LCM of Fractions 96/214,726/427,565/950 is 6563040

Greatest Common Factor of 214,427,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,427,950 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 214,427,950 . The biggest common factor number is the GCF number.
So the greatest common factor 214,427,950 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 96/214, 726/427, 565/950

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 96/214, 726/427, 565/950?

Answer: LCM of Numerators as per given numbers 96/214, 726/427, 565/950 is

LCM of Numerators i.e. for 96,726,565 is 6563040

GCF of denominators i.e. for 214,427,950 is 1.

Thus, LCM of Fractions is 6563040.Finally, LCM of Fractions for 96/214, 726/427, 565/950 is 6563040.