Least Common Multiple of 646/38, 969/59, 235/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/38, 969/59, 235/737 quickly i.e. 455430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/38, 969/59, 235/737 is 455430.

LCM(646/38, 969/59, 235/737) = 455430

LCM of 646/38, 969/59, 235/737

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 646/38,969/59,235/737

Given numbers are 646/38,969/59,235/737

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 646,969,235

Least Common Multiple of Numerators i.e. LCM of 646,969,235 is 455430.

GCF of Denominators means GCF of 38,59,737 as per the given fractions.

GCF of 38,59,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,969,235

LCM of Fractions 646/38,969/59,235/737 is 455430

17 646, 969, 235
19 38, 57, 235
2, 3, 235

∴ So the LCM of the given numbers is 17 x 19 x 2 x 3 x 235 = 455430

Least Common Multiple of 646,969,235 with GCF Formula

Least Common Multiple of 646,969,235 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 646,969,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,969,235) = 1

common factors(in case of two or more numbers have common factors) = 323

GCF(646,969,235) x common factors =1 x 323 = 323

LCM(646,969,235) = ( 646 × 969 × 235 ) / 323

LCM(646,969,235) = 147103890 / 323

LCM(646,969,235) = 455430


Lets's calculate GCF of 38,59,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455430/1

Therefore the LCM of Fractions 646/38,969/59,235/737 is 455430

Greatest Common Factor of 38,59,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,59,737 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 38,59,737 . The biggest common factor number is the GCF number.
So the greatest common factor 38,59,737 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 646/38, 969/59, 235/737

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 646/38, 969/59, 235/737?

Answer: LCM of Numerators as per given numbers 646/38, 969/59, 235/737 is

LCM of Numerators i.e. for 646,969,235 is 455430

GCF of denominators i.e. for 38,59,737 is 1.

Thus, LCM of Fractions is 455430.Finally, LCM of Fractions for 646/38, 969/59, 235/737 is 455430.