Least Common Multiple of 67/192, 804/810, 126/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/192, 804/810, 126/145 quickly i.e. 16884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/192, 804/810, 126/145 is 16884.

LCM(67/192, 804/810, 126/145) = 16884

LCM of 67/192, 804/810, 126/145

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 67/192,804/810,126/145

Given numbers are 67/192,804/810,126/145

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 67,804,126

Least Common Multiple of Numerators i.e. LCM of 67,804,126 is 16884.

GCF of Denominators means GCF of 192,810,145 as per the given fractions.

GCF of 192,810,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,804,126

LCM of Fractions 67/192,804/810,126/145 is 16884

2 67, 804, 126
3 67, 402, 63
67 67, 134, 21
1, 2, 21

∴ So the LCM of the given numbers is 2 x 3 x 67 x 1 x 2 x 21 = 16884

Least Common Multiple of 67,804,126 with GCF Formula

Least Common Multiple of 67,804,126 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 67,804,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,804,126) = 1

common factors(in case of two or more numbers have common factors) = 402

GCF(67,804,126) x common factors =1 x 402 = 402

LCM(67,804,126) = ( 67 × 804 × 126 ) / 402

LCM(67,804,126) = 6787368 / 402

LCM(67,804,126) = 16884


Lets's calculate GCF of 192,810,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16884/1

Therefore the LCM of Fractions 67/192,804/810,126/145 is 16884

Greatest Common Factor of 192,810,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,810,145 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 192,810,145 . The biggest common factor number is the GCF number.
So the greatest common factor 192,810,145 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 67/192, 804/810, 126/145

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 67/192, 804/810, 126/145?

Answer: LCM of Numerators as per given numbers 67/192, 804/810, 126/145 is

LCM of Numerators i.e. for 67,804,126 is 16884

GCF of denominators i.e. for 192,810,145 is 1.

Thus, LCM of Fractions is 16884.Finally, LCM of Fractions for 67/192, 804/810, 126/145 is 16884.