Least Common Multiple of 67/75, 166/15, 557/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/75, 166/15, 557/957 quickly i.e. 6194954/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/75, 166/15, 557/957 is 6194954/3.

LCM(67/75, 166/15, 557/957) = 6194954/3

LCM of 67/75, 166/15, 557/957

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 67/75,166/15,557/957

Given numbers are 67/75,166/15,557/957

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 67,166,557

Least Common Multiple of Numerators i.e. LCM of 67,166,557 is 6194954.

GCF of Denominators means GCF of 75,15,957 as per the given fractions.

GCF of 75,15,957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,166,557

LCM of Fractions 67/75,166/15,557/957 is 6194954/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 6194954

Least Common Multiple of 67,166,557 with GCF Formula

Least Common Multiple of 67,166,557 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 67,166,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,166,557) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,166,557) x common factors =1 x 1 = 1

LCM(67,166,557) = ( 67 × 166 × 557 ) / 1

LCM(67,166,557) = 6194954 / 1

LCM(67,166,557) = 6194954


Lets's calculate GCF of 75,15,957

3 75, 15, 957
25, 5, 319

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6194954/3

Therefore the LCM of Fractions 67/75,166/15,557/957 is 6194954/3

Greatest Common Factor of 75,15,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,15,957 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 75,15,957 . The biggest common factor number is the GCF number.
So the greatest common factor 75,15,957 is 3.


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 67/75, 166/15, 557/957

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 67/75, 166/15, 557/957?

Answer: LCM of Numerators as per given numbers 67/75, 166/15, 557/957 is

LCM of Numerators i.e. for 67,166,557 is 6194954

GCF of denominators i.e. for 75,15,957 is 3.

Thus, LCM of Fractions is 6194954/3.Finally, LCM of Fractions for 67/75, 166/15, 557/957 is 6194954/3.