Least Common Multiple of 34/43, 50/75, 43/86, 51/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/43, 50/75, 43/86, 51/961 quickly i.e. 109650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/43, 50/75, 43/86, 51/961 is 109650.

LCM(34/43, 50/75, 43/86, 51/961) = 109650

LCM of 34/43, 50/75, 43/86, 51/961

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 34/43,50/75,43/86,51/961

Given numbers are 34/43,50/75,43/86,51/961

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 34,50,43,51

Least Common Multiple of Numerators i.e. LCM of 34,50,43,51 is 109650.

GCF of Denominators means GCF of 43,75,86,961 as per the given fractions.

GCF of 43,75,86,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,50,43,51

LCM of Fractions 34/43,50/75,43/86,51/961 is 109650

2 34, 50, 43, 51
17 17, 25, 43, 51
1, 25, 43, 3

∴ So the LCM of the given numbers is 2 x 17 x 1 x 25 x 43 x 3 = 109650

Least Common Multiple of 34,50,43,51 with GCF Formula

Least Common Multiple of 34,50,43,51 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 34,50,43,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,50,43,51) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,50,43,51) x common factors =1 x 34 = 34

LCM(34,50,43,51) = ( 34 × 50 × 43 × 51 ) / 34

LCM(34,50,43,51) = 3728100 / 34

LCM(34,50,43,51) = 109650


Lets's calculate GCF of 43,75,86,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109650/1

Therefore the LCM of Fractions 34/43,50/75,43/86,51/961 is 109650

Greatest Common Factor of 43,75,86,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,75,86,961 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 43,75,86,961 . The biggest common factor number is the GCF number.
So the greatest common factor 43,75,86,961 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 34/43, 50/75, 43/86, 51/961

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 34/43, 50/75, 43/86, 51/961?

Answer: LCM of Numerators as per given numbers 34/43, 50/75, 43/86, 51/961 is

LCM of Numerators i.e. for 34,50,43,51 is 109650

GCF of denominators i.e. for 43,75,86,961 is 1.

Thus, LCM of Fractions is 109650.Finally, LCM of Fractions for 34/43, 50/75, 43/86, 51/961 is 109650.