Least Common Multiple of 265/44, 170/87, 380/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/44, 170/87, 380/84 quickly i.e. 342380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/44, 170/87, 380/84 is 342380.

LCM(265/44, 170/87, 380/84) = 342380

LCM of 265/44, 170/87, 380/84

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 265/44,170/87,380/84

Given numbers are 265/44,170/87,380/84

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 265,170,380

Least Common Multiple of Numerators i.e. LCM of 265,170,380 is 342380.

GCF of Denominators means GCF of 44,87,84 as per the given fractions.

GCF of 44,87,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,170,380

LCM of Fractions 265/44,170/87,380/84 is 342380

2 265, 170, 380
5 265, 85, 190
53, 17, 38

∴ So the LCM of the given numbers is 2 x 5 x 53 x 17 x 38 = 342380

Least Common Multiple of 265,170,380 with GCF Formula

Least Common Multiple of 265,170,380 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 265,170,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,170,380) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(265,170,380) x common factors =5 x 10 = 50

LCM(265,170,380) = ( 265 × 170 × 380 ) / 50

LCM(265,170,380) = 17119000 / 50

LCM(265,170,380) = 342380


Lets's calculate GCF of 44,87,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342380/1

Therefore the LCM of Fractions 265/44,170/87,380/84 is 342380

Greatest Common Factor of 44,87,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,87,84 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 44,87,84 . The biggest common factor number is the GCF number.
So the greatest common factor 44,87,84 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 265/44, 170/87, 380/84

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 265/44, 170/87, 380/84?

Answer: LCM of Numerators as per given numbers 265/44, 170/87, 380/84 is

LCM of Numerators i.e. for 265,170,380 is 342380

GCF of denominators i.e. for 44,87,84 is 1.

Thus, LCM of Fractions is 342380.Finally, LCM of Fractions for 265/44, 170/87, 380/84 is 342380.