Least Common Multiple of 476/694, 189/818, 981/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/694, 189/818, 981/816 quickly i.e. 700434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/694, 189/818, 981/816 is 700434.

LCM(476/694, 189/818, 981/816) = 700434

LCM of 476/694, 189/818, 981/816

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 476/694,189/818,981/816

Given numbers are 476/694,189/818,981/816

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 476,189,981

Least Common Multiple of Numerators i.e. LCM of 476,189,981 is 1400868.

GCF of Denominators means GCF of 694,818,816 as per the given fractions.

GCF of 694,818,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,189,981

LCM of Fractions 476/694,189/818,981/816 is 700434

3 476, 189, 981
3 476, 63, 327
7 476, 21, 109
68, 3, 109

∴ So the LCM of the given numbers is 3 x 3 x 7 x 68 x 3 x 109 = 1400868

Least Common Multiple of 476,189,981 with GCF Formula

Least Common Multiple of 476,189,981 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 476,189,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,189,981) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(476,189,981) x common factors =1 x 63 = 63

LCM(476,189,981) = ( 476 × 189 × 981 ) / 63

LCM(476,189,981) = 88254684 / 63

LCM(476,189,981) = 1400868


Lets's calculate GCF of 694,818,816

2 694, 818, 816
347, 409, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1400868/2

Therefore the LCM of Fractions 476/694,189/818,981/816 is 700434

Greatest Common Factor of 694,818,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,818,816 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 694,818,816 . The biggest common factor number is the GCF number.
So the greatest common factor 694,818,816 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 476/694, 189/818, 981/816

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 476/694, 189/818, 981/816?

Answer: LCM of Numerators as per given numbers 476/694, 189/818, 981/816 is

LCM of Numerators i.e. for 476,189,981 is 1400868

GCF of denominators i.e. for 694,818,816 is 2.

Thus, LCM of Fractions is 700434.Finally, LCM of Fractions for 476/694, 189/818, 981/816 is 700434.