Least Common Multiple of 756/205, 347/830, 177/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/205, 347/830, 177/940 quickly i.e. 15477588/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/205, 347/830, 177/940 is 15477588/5.

LCM(756/205, 347/830, 177/940) = 15477588/5

LCM of 756/205, 347/830, 177/940

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 756/205,347/830,177/940

Given numbers are 756/205,347/830,177/940

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 756,347,177

Least Common Multiple of Numerators i.e. LCM of 756,347,177 is 15477588.

GCF of Denominators means GCF of 205,830,940 as per the given fractions.

GCF of 205,830,940 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,347,177

LCM of Fractions 756/205,347/830,177/940 is 15477588/5

3 756, 347, 177
252, 347, 59

∴ So the LCM of the given numbers is 3 x 252 x 347 x 59 = 15477588

Least Common Multiple of 756,347,177 with GCF Formula

Least Common Multiple of 756,347,177 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 756,347,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,347,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(756,347,177) x common factors =1 x 3 = 3

LCM(756,347,177) = ( 756 × 347 × 177 ) / 3

LCM(756,347,177) = 46432764 / 3

LCM(756,347,177) = 15477588


Lets's calculate GCF of 205,830,940

5 205, 830, 940
41, 166, 188

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15477588/5

Therefore the LCM of Fractions 756/205,347/830,177/940 is 15477588/5

Greatest Common Factor of 205,830,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,830,940 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 205,830,940 . The biggest common factor number is the GCF number.
So the greatest common factor 205,830,940 is 5.


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 756/205, 347/830, 177/940

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 756/205, 347/830, 177/940?

Answer: LCM of Numerators as per given numbers 756/205, 347/830, 177/940 is

LCM of Numerators i.e. for 756,347,177 is 15477588

GCF of denominators i.e. for 205,830,940 is 5.

Thus, LCM of Fractions is 15477588/5.Finally, LCM of Fractions for 756/205, 347/830, 177/940 is 15477588/5.