Least Common Multiple of 153/59, 380/46, 785/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/59, 380/46, 785/366 quickly i.e. 9127980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/59, 380/46, 785/366 is 9127980.

LCM(153/59, 380/46, 785/366) = 9127980

LCM of 153/59, 380/46, 785/366

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 153/59,380/46,785/366

Given numbers are 153/59,380/46,785/366

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 153,380,785

Least Common Multiple of Numerators i.e. LCM of 153,380,785 is 9127980.

GCF of Denominators means GCF of 59,46,366 as per the given fractions.

GCF of 59,46,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,380,785

LCM of Fractions 153/59,380/46,785/366 is 9127980

5 153, 380, 785
153, 76, 157

∴ So the LCM of the given numbers is 5 x 153 x 76 x 157 = 9127980

Least Common Multiple of 153,380,785 with GCF Formula

Least Common Multiple of 153,380,785 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 153,380,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,380,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(153,380,785) x common factors =1 x 5 = 5

LCM(153,380,785) = ( 153 × 380 × 785 ) / 5

LCM(153,380,785) = 45639900 / 5

LCM(153,380,785) = 9127980


Lets's calculate GCF of 59,46,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9127980/1

Therefore the LCM of Fractions 153/59,380/46,785/366 is 9127980

Greatest Common Factor of 59,46,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,46,366 By Matching Biggest Common Factor Method

Factors of 59

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

1,59

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 59,46,366 . The biggest common factor number is the GCF number.
So the greatest common factor 59,46,366 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 153/59, 380/46, 785/366

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 153/59, 380/46, 785/366?

Answer: LCM of Numerators as per given numbers 153/59, 380/46, 785/366 is

LCM of Numerators i.e. for 153,380,785 is 9127980

GCF of denominators i.e. for 59,46,366 is 1.

Thus, LCM of Fractions is 9127980.Finally, LCM of Fractions for 153/59, 380/46, 785/366 is 9127980.