Least Common Multiple of 852/37, 451/68, 660/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/37, 451/68, 660/380 quickly i.e. 1921260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/37, 451/68, 660/380 is 1921260.

LCM(852/37, 451/68, 660/380) = 1921260

LCM of 852/37, 451/68, 660/380

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 852/37,451/68,660/380

Given numbers are 852/37,451/68,660/380

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 852,451,660

Least Common Multiple of Numerators i.e. LCM of 852,451,660 is 1921260.

GCF of Denominators means GCF of 37,68,380 as per the given fractions.

GCF of 37,68,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,451,660

LCM of Fractions 852/37,451/68,660/380 is 1921260

2 852, 451, 660
2 426, 451, 330
3 213, 451, 165
11 71, 451, 55
71, 41, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 71 x 41 x 5 = 1921260

Least Common Multiple of 852,451,660 with GCF Formula

Least Common Multiple of 852,451,660 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 852,451,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,451,660) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(852,451,660) x common factors =1 x 132 = 132

LCM(852,451,660) = ( 852 × 451 × 660 ) / 132

LCM(852,451,660) = 253606320 / 132

LCM(852,451,660) = 1921260


Lets's calculate GCF of 37,68,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1921260/1

Therefore the LCM of Fractions 852/37,451/68,660/380 is 1921260

Greatest Common Factor of 37,68,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,68,380 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 37,68,380 . The biggest common factor number is the GCF number.
So the greatest common factor 37,68,380 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 852/37, 451/68, 660/380

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 852/37, 451/68, 660/380?

Answer: LCM of Numerators as per given numbers 852/37, 451/68, 660/380 is

LCM of Numerators i.e. for 852,451,660 is 1921260

GCF of denominators i.e. for 37,68,380 is 1.

Thus, LCM of Fractions is 1921260.Finally, LCM of Fractions for 852/37, 451/68, 660/380 is 1921260.