Least Common Multiple of 83/818, 67/814, 610/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/818, 67/814, 610/976 quickly i.e. 1696105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/818, 67/814, 610/976 is 1696105.

LCM(83/818, 67/814, 610/976) = 1696105

LCM of 83/818, 67/814, 610/976

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 83/818,67/814,610/976

Given numbers are 83/818,67/814,610/976

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 83,67,610

Least Common Multiple of Numerators i.e. LCM of 83,67,610 is 3392210.

GCF of Denominators means GCF of 818,814,976 as per the given fractions.

GCF of 818,814,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,67,610

LCM of Fractions 83/818,67/814,610/976 is 1696105

Given numbers has no common factors except 1. So, there LCM is their product i.e 3392210

Least Common Multiple of 83,67,610 with GCF Formula

Least Common Multiple of 83,67,610 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 83,67,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,67,610) = 1

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

GCF(83,67,610) x common factors =1 x 1 = 1

LCM(83,67,610) = ( 83 × 67 × 610 ) / 1

LCM(83,67,610) = 3392210 / 1

LCM(83,67,610) = 3392210


Lets's calculate GCF of 818,814,976

2 818, 814, 976
409, 407, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3392210/2

Therefore the LCM of Fractions 83/818,67/814,610/976 is 1696105

Greatest Common Factor of 818,814,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,814,976 By Matching Biggest Common Factor Method

Factors of 818

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

1,2,409,818

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

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 818,814,976 . The biggest common factor number is the GCF number.
So the greatest common factor 818,814,976 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/818, 67/814, 610/976

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 83/818, 67/814, 610/976?

Answer: LCM of Numerators as per given numbers 83/818, 67/814, 610/976 is

LCM of Numerators i.e. for 83,67,610 is 3392210

GCF of denominators i.e. for 818,814,976 is 2.

Thus, LCM of Fractions is 1696105.Finally, LCM of Fractions for 83/818, 67/814, 610/976 is 1696105.