Least Common Multiple of 57/185, 746/120, 901/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/185, 746/120, 901/319 quickly i.e. 38312322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/185, 746/120, 901/319 is 38312322.

LCM(57/185, 746/120, 901/319) = 38312322

LCM of 57/185, 746/120, 901/319

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 57/185,746/120,901/319

Given numbers are 57/185,746/120,901/319

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 57,746,901

Least Common Multiple of Numerators i.e. LCM of 57,746,901 is 38312322.

GCF of Denominators means GCF of 185,120,319 as per the given fractions.

GCF of 185,120,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,746,901

LCM of Fractions 57/185,746/120,901/319 is 38312322

Given numbers has no common factors except 1. So, there LCM is their product i.e 38312322

Least Common Multiple of 57,746,901 with GCF Formula

Least Common Multiple of 57,746,901 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 57,746,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,746,901) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,746,901) x common factors =1 x 1 = 1

LCM(57,746,901) = ( 57 × 746 × 901 ) / 1

LCM(57,746,901) = 38312322 / 1

LCM(57,746,901) = 38312322


Lets's calculate GCF of 185,120,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38312322/1

Therefore the LCM of Fractions 57/185,746/120,901/319 is 38312322

Greatest Common Factor of 185,120,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,120,319 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 185,120,319 . The biggest common factor number is the GCF number.
So the greatest common factor 185,120,319 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 57/185, 746/120, 901/319

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 57/185, 746/120, 901/319?

Answer: LCM of Numerators as per given numbers 57/185, 746/120, 901/319 is

LCM of Numerators i.e. for 57,746,901 is 38312322

GCF of denominators i.e. for 185,120,319 is 1.

Thus, LCM of Fractions is 38312322.Finally, LCM of Fractions for 57/185, 746/120, 901/319 is 38312322.