Least Common Multiple of 84/892, 667/377, 366/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/892, 667/377, 366/611 quickly i.e. 3417708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/892, 667/377, 366/611 is 3417708.

LCM(84/892, 667/377, 366/611) = 3417708

LCM of 84/892, 667/377, 366/611

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 84/892,667/377,366/611

Given numbers are 84/892,667/377,366/611

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 84,667,366

Least Common Multiple of Numerators i.e. LCM of 84,667,366 is 3417708.

GCF of Denominators means GCF of 892,377,611 as per the given fractions.

GCF of 892,377,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,667,366

LCM of Fractions 84/892,667/377,366/611 is 3417708

2 84, 667, 366
3 42, 667, 183
14, 667, 61

∴ So the LCM of the given numbers is 2 x 3 x 14 x 667 x 61 = 3417708

Least Common Multiple of 84,667,366 with GCF Formula

Least Common Multiple of 84,667,366 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 84,667,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,667,366) = 1

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

GCF(84,667,366) x common factors =1 x 6 = 6

LCM(84,667,366) = ( 84 × 667 × 366 ) / 6

LCM(84,667,366) = 20506248 / 6

LCM(84,667,366) = 3417708


Lets's calculate GCF of 892,377,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3417708/1

Therefore the LCM of Fractions 84/892,667/377,366/611 is 3417708

Greatest Common Factor of 892,377,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,377,611 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 892,377,611 . The biggest common factor number is the GCF number.
So the greatest common factor 892,377,611 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 84/892, 667/377, 366/611

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 84/892, 667/377, 366/611?

Answer: LCM of Numerators as per given numbers 84/892, 667/377, 366/611 is

LCM of Numerators i.e. for 84,667,366 is 3417708

GCF of denominators i.e. for 892,377,611 is 1.

Thus, LCM of Fractions is 3417708.Finally, LCM of Fractions for 84/892, 667/377, 366/611 is 3417708.