Least Common Multiple of 34/550, 25/947, 515/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/550, 25/947, 515/878 quickly i.e. 87550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/550, 25/947, 515/878 is 87550.

LCM(34/550, 25/947, 515/878) = 87550

LCM of 34/550, 25/947, 515/878

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 34/550,25/947,515/878

Given numbers are 34/550,25/947,515/878

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 34,25,515

Least Common Multiple of Numerators i.e. LCM of 34,25,515 is 87550.

GCF of Denominators means GCF of 550,947,878 as per the given fractions.

GCF of 550,947,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,25,515

LCM of Fractions 34/550,25/947,515/878 is 87550

5 34, 25, 515
34, 5, 103

∴ So the LCM of the given numbers is 5 x 34 x 5 x 103 = 87550

Least Common Multiple of 34,25,515 with GCF Formula

Least Common Multiple of 34,25,515 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 34,25,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,25,515) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(34,25,515) x common factors =1 x 5 = 5

LCM(34,25,515) = ( 34 × 25 × 515 ) / 5

LCM(34,25,515) = 437750 / 5

LCM(34,25,515) = 87550


Lets's calculate GCF of 550,947,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87550/1

Therefore the LCM of Fractions 34/550,25/947,515/878 is 87550

Greatest Common Factor of 550,947,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,947,878 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 550,947,878 . The biggest common factor number is the GCF number.
So the greatest common factor 550,947,878 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/550, 25/947, 515/878

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 34/550, 25/947, 515/878?

Answer: LCM of Numerators as per given numbers 34/550, 25/947, 515/878 is

LCM of Numerators i.e. for 34,25,515 is 87550

GCF of denominators i.e. for 550,947,878 is 1.

Thus, LCM of Fractions is 87550.Finally, LCM of Fractions for 34/550, 25/947, 515/878 is 87550.