Least Common Multiple of 672/204, 471/657, 170/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/204, 471/657, 170/908 quickly i.e. 8967840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/204, 471/657, 170/908 is 8967840.

LCM(672/204, 471/657, 170/908) = 8967840

LCM of 672/204, 471/657, 170/908

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 672/204,471/657,170/908

Given numbers are 672/204,471/657,170/908

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 672,471,170

Least Common Multiple of Numerators i.e. LCM of 672,471,170 is 8967840.

GCF of Denominators means GCF of 204,657,908 as per the given fractions.

GCF of 204,657,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,471,170

LCM of Fractions 672/204,471/657,170/908 is 8967840

2 672, 471, 170
3 336, 471, 85
112, 157, 85

∴ So the LCM of the given numbers is 2 x 3 x 112 x 157 x 85 = 8967840

Least Common Multiple of 672,471,170 with GCF Formula

Least Common Multiple of 672,471,170 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 672,471,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,471,170) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(672,471,170) x common factors =1 x 6 = 6

LCM(672,471,170) = ( 672 × 471 × 170 ) / 6

LCM(672,471,170) = 53807040 / 6

LCM(672,471,170) = 8967840


Lets's calculate GCF of 204,657,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8967840/1

Therefore the LCM of Fractions 672/204,471/657,170/908 is 8967840

Greatest Common Factor of 204,657,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,657,908 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 204,657,908 . The biggest common factor number is the GCF number.
So the greatest common factor 204,657,908 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 672/204, 471/657, 170/908

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 672/204, 471/657, 170/908?

Answer: LCM of Numerators as per given numbers 672/204, 471/657, 170/908 is

LCM of Numerators i.e. for 672,471,170 is 8967840

GCF of denominators i.e. for 204,657,908 is 1.

Thus, LCM of Fractions is 8967840.Finally, LCM of Fractions for 672/204, 471/657, 170/908 is 8967840.