Least Common Multiple of 265/47, 190/51, 760/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/47, 190/51, 760/87 quickly i.e. 40280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/47, 190/51, 760/87 is 40280.

LCM(265/47, 190/51, 760/87) = 40280

LCM of 265/47, 190/51, 760/87

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 265/47,190/51,760/87

Given numbers are 265/47,190/51,760/87

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 265,190,760

Least Common Multiple of Numerators i.e. LCM of 265,190,760 is 40280.

GCF of Denominators means GCF of 47,51,87 as per the given fractions.

GCF of 47,51,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,190,760

LCM of Fractions 265/47,190/51,760/87 is 40280

2 265, 190, 760
5 265, 95, 380
19 53, 19, 76
53, 1, 4

∴ So the LCM of the given numbers is 2 x 5 x 19 x 53 x 1 x 4 = 40280

Least Common Multiple of 265,190,760 with GCF Formula

Least Common Multiple of 265,190,760 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 265,190,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,190,760) = 5

common factors(in case of two or more numbers have common factors) = 190

GCF(265,190,760) x common factors =5 x 190 = 950

LCM(265,190,760) = ( 265 × 190 × 760 ) / 950

LCM(265,190,760) = 38266000 / 950

LCM(265,190,760) = 40280


Lets's calculate GCF of 47,51,87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40280/1

Therefore the LCM of Fractions 265/47,190/51,760/87 is 40280

Greatest Common Factor of 47,51,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,51,87 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 87

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

1,3,29,87

Greatest Common Factor

We found the factors 47,51,87 . The biggest common factor number is the GCF number.
So the greatest common factor 47,51,87 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 265/47, 190/51, 760/87

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 265/47, 190/51, 760/87?

Answer: LCM of Numerators as per given numbers 265/47, 190/51, 760/87 is

LCM of Numerators i.e. for 265,190,760 is 40280

GCF of denominators i.e. for 47,51,87 is 1.

Thus, LCM of Fractions is 40280.Finally, LCM of Fractions for 265/47, 190/51, 760/87 is 40280.