Least Common Multiple of 547/65, 378/71, 765/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 547/65, 378/71, 765/950 quickly i.e. 17575110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 547/65, 378/71, 765/950 is 17575110.

LCM(547/65, 378/71, 765/950) = 17575110

LCM of 547/65, 378/71, 765/950

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 547/65,378/71,765/950

Given numbers are 547/65,378/71,765/950

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 547,378,765

Least Common Multiple of Numerators i.e. LCM of 547,378,765 is 17575110.

GCF of Denominators means GCF of 65,71,950 as per the given fractions.

GCF of 65,71,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 547,378,765

LCM of Fractions 547/65,378/71,765/950 is 17575110

3 547, 378, 765
3 547, 126, 255
547, 42, 85

∴ So the LCM of the given numbers is 3 x 3 x 547 x 42 x 85 = 17575110

Least Common Multiple of 547,378,765 with GCF Formula

Least Common Multiple of 547,378,765 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 547,378,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,378,765) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(547,378,765) x common factors =1 x 9 = 9

LCM(547,378,765) = ( 547 × 378 × 765 ) / 9

LCM(547,378,765) = 158175990 / 9

LCM(547,378,765) = 17575110


Lets's calculate GCF of 65,71,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17575110/1

Therefore the LCM of Fractions 547/65,378/71,765/950 is 17575110

Greatest Common Factor of 65,71,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,71,950 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 65,71,950 . The biggest common factor number is the GCF number.
So the greatest common factor 65,71,950 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 547/65, 378/71, 765/950

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 547/65, 378/71, 765/950?

Answer: LCM of Numerators as per given numbers 547/65, 378/71, 765/950 is

LCM of Numerators i.e. for 547,378,765 is 17575110

GCF of denominators i.e. for 65,71,950 is 1.

Thus, LCM of Fractions is 17575110.Finally, LCM of Fractions for 547/65, 378/71, 765/950 is 17575110.