Least Common Multiple of 168/462, 853/304, 683/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/462, 853/304, 683/976 quickly i.e. 48938316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/462, 853/304, 683/976 is 48938316.

LCM(168/462, 853/304, 683/976) = 48938316

LCM of 168/462, 853/304, 683/976

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 168/462,853/304,683/976

Given numbers are 168/462,853/304,683/976

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 168,853,683

Least Common Multiple of Numerators i.e. LCM of 168,853,683 is 97876632.

GCF of Denominators means GCF of 462,304,976 as per the given fractions.

GCF of 462,304,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,853,683

LCM of Fractions 168/462,853/304,683/976 is 48938316

Given numbers has no common factors except 1. So, there LCM is their product i.e 97876632

Least Common Multiple of 168,853,683 with GCF Formula

Least Common Multiple of 168,853,683 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 168,853,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,853,683) = 1

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

GCF(168,853,683) x common factors =1 x 1 = 1

LCM(168,853,683) = ( 168 × 853 × 683 ) / 1

LCM(168,853,683) = 97876632 / 1

LCM(168,853,683) = 97876632


Lets's calculate GCF of 462,304,976

2 462, 304, 976
231, 152, 488

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97876632/2

Therefore the LCM of Fractions 168/462,853/304,683/976 is 48938316

Greatest Common Factor of 462,304,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,304,976 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 462,304,976 . The biggest common factor number is the GCF number.
So the greatest common factor 462,304,976 is 2.


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 168/462, 853/304, 683/976

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 168/462, 853/304, 683/976?

Answer: LCM of Numerators as per given numbers 168/462, 853/304, 683/976 is

LCM of Numerators i.e. for 168,853,683 is 97876632

GCF of denominators i.e. for 462,304,976 is 2.

Thus, LCM of Fractions is 48938316.Finally, LCM of Fractions for 168/462, 853/304, 683/976 is 48938316.