Least Common Multiple of 379/31, 483/57, 435/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 379/31, 483/57, 435/201 quickly i.e. 26543265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/31, 483/57, 435/201 is 26543265.

LCM(379/31, 483/57, 435/201) = 26543265

LCM of 379/31, 483/57, 435/201

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 379/31,483/57,435/201

Given numbers are 379/31,483/57,435/201

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 379,483,435

Least Common Multiple of Numerators i.e. LCM of 379,483,435 is 26543265.

GCF of Denominators means GCF of 31,57,201 as per the given fractions.

GCF of 31,57,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,483,435

LCM of Fractions 379/31,483/57,435/201 is 26543265

3 379, 483, 435
379, 161, 145

∴ So the LCM of the given numbers is 3 x 379 x 161 x 145 = 26543265

Least Common Multiple of 379,483,435 with GCF Formula

Least Common Multiple of 379,483,435 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 379,483,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,483,435) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(379,483,435) x common factors =1 x 3 = 3

LCM(379,483,435) = ( 379 × 483 × 435 ) / 3

LCM(379,483,435) = 79629795 / 3

LCM(379,483,435) = 26543265


Lets's calculate GCF of 31,57,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26543265/1

Therefore the LCM of Fractions 379/31,483/57,435/201 is 26543265

Greatest Common Factor of 31,57,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,57,201 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 31,57,201 . The biggest common factor number is the GCF number.
So the greatest common factor 31,57,201 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 379/31, 483/57, 435/201

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 379/31, 483/57, 435/201?

Answer: LCM of Numerators as per given numbers 379/31, 483/57, 435/201 is

LCM of Numerators i.e. for 379,483,435 is 26543265

GCF of denominators i.e. for 31,57,201 is 1.

Thus, LCM of Fractions is 26543265.Finally, LCM of Fractions for 379/31, 483/57, 435/201 is 26543265.