Least Common Multiple of 45/907, 51/570, 927/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/907, 51/570, 927/270 quickly i.e. 78795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/907, 51/570, 927/270 is 78795.

LCM(45/907, 51/570, 927/270) = 78795

LCM of 45/907, 51/570, 927/270

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 45/907,51/570,927/270

Given numbers are 45/907,51/570,927/270

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 45,51,927

Least Common Multiple of Numerators i.e. LCM of 45,51,927 is 78795.

GCF of Denominators means GCF of 907,570,270 as per the given fractions.

GCF of 907,570,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,51,927

LCM of Fractions 45/907,51/570,927/270 is 78795

3 45, 51, 927
3 15, 17, 309
5, 17, 103

∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 103 = 78795

Least Common Multiple of 45,51,927 with GCF Formula

Least Common Multiple of 45,51,927 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 45,51,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,51,927) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,51,927) x common factors =3 x 9 = 27

LCM(45,51,927) = ( 45 × 51 × 927 ) / 27

LCM(45,51,927) = 2127465 / 27

LCM(45,51,927) = 78795


Lets's calculate GCF of 907,570,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78795/1

Therefore the LCM of Fractions 45/907,51/570,927/270 is 78795

Greatest Common Factor of 907,570,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,570,270 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 907,570,270 . The biggest common factor number is the GCF number.
So the greatest common factor 907,570,270 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 45/907, 51/570, 927/270

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 45/907, 51/570, 927/270?

Answer: LCM of Numerators as per given numbers 45/907, 51/570, 927/270 is

LCM of Numerators i.e. for 45,51,927 is 78795

GCF of denominators i.e. for 907,570,270 is 1.

Thus, LCM of Fractions is 78795.Finally, LCM of Fractions for 45/907, 51/570, 927/270 is 78795.