Least Common Multiple of 654/42, 6175/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/42, 6175/204 quickly i.e. 673075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/42, 6175/204 is 673075.

LCM(654/42, 6175/204) = 673075

LCM of 654/42, 6175/204

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 654/42,6175/204

Given numbers are 654/42,6175/204

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 654,6175

Least Common Multiple of Numerators i.e. LCM of 654,6175 is 4038450.

GCF of Denominators means GCF of 42,204 as per the given fractions.

GCF of 42,204 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,6175

LCM of Fractions 654/42,6175/204 is 673075

Given numbers has no common factors except 1. So, there LCM is their product i.e 4038450

Least Common Multiple of 654,6175 with GCF Formula

Least Common Multiple of 654,6175 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 654,6175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,6175) = 1

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

GCF(654,6175) x common factors =1 x 1 = 1

LCM(654,6175) = ( 654 × 6175 ) / 1

LCM(654,6175) = 4038450 / 1

LCM(654,6175) = 4038450


Lets's calculate GCF of 42,204

2 42, 204
3 21, 102
7, 34

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4038450/6

Therefore the LCM of Fractions 654/42,6175/204 is 673075

Greatest Common Factor of 42,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,204 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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

Greatest Common Factor

We found the factors 42,204 . The biggest common factor number is the GCF number.
So the greatest common factor 42,204 is 6.


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 654/42, 6175/204

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 654/42, 6175/204?

Answer: LCM of Numerators as per given numbers 654/42, 6175/204 is

LCM of Numerators i.e. for 654,6175 is 4038450

GCF of denominators i.e. for 42,204 is 6.

Thus, LCM of Fractions is 673075.Finally, LCM of Fractions for 654/42, 6175/204 is 673075.