Least Common Multiple of 146/306, 849/973, 402/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/306, 849/973, 402/227 quickly i.e. 8304918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/306, 849/973, 402/227 is 8304918.

LCM(146/306, 849/973, 402/227) = 8304918

LCM of 146/306, 849/973, 402/227

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 146/306,849/973,402/227

Given numbers are 146/306,849/973,402/227

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 146,849,402

Least Common Multiple of Numerators i.e. LCM of 146,849,402 is 8304918.

GCF of Denominators means GCF of 306,973,227 as per the given fractions.

GCF of 306,973,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,849,402

LCM of Fractions 146/306,849/973,402/227 is 8304918

2 146, 849, 402
3 73, 849, 201
73, 283, 67

∴ So the LCM of the given numbers is 2 x 3 x 73 x 283 x 67 = 8304918

Least Common Multiple of 146,849,402 with GCF Formula

Least Common Multiple of 146,849,402 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 146,849,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,849,402) = 1

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

GCF(146,849,402) x common factors =1 x 6 = 6

LCM(146,849,402) = ( 146 × 849 × 402 ) / 6

LCM(146,849,402) = 49829508 / 6

LCM(146,849,402) = 8304918


Lets's calculate GCF of 306,973,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8304918/1

Therefore the LCM of Fractions 146/306,849/973,402/227 is 8304918

Greatest Common Factor of 306,973,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,973,227 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 306,973,227 . The biggest common factor number is the GCF number.
So the greatest common factor 306,973,227 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 146/306, 849/973, 402/227

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 146/306, 849/973, 402/227?

Answer: LCM of Numerators as per given numbers 146/306, 849/973, 402/227 is

LCM of Numerators i.e. for 146,849,402 is 8304918

GCF of denominators i.e. for 306,973,227 is 1.

Thus, LCM of Fractions is 8304918.Finally, LCM of Fractions for 146/306, 849/973, 402/227 is 8304918.