Least Common Multiple of 85/982, 414/94, 310/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/982, 414/94, 310/303 quickly i.e. 1090890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/982, 414/94, 310/303 is 1090890.

LCM(85/982, 414/94, 310/303) = 1090890

LCM of 85/982, 414/94, 310/303

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 85/982,414/94,310/303

Given numbers are 85/982,414/94,310/303

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 85,414,310

Least Common Multiple of Numerators i.e. LCM of 85,414,310 is 1090890.

GCF of Denominators means GCF of 982,94,303 as per the given fractions.

GCF of 982,94,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,414,310

LCM of Fractions 85/982,414/94,310/303 is 1090890

2 85, 414, 310
5 85, 207, 155
17, 207, 31

∴ So the LCM of the given numbers is 2 x 5 x 17 x 207 x 31 = 1090890

Least Common Multiple of 85,414,310 with GCF Formula

Least Common Multiple of 85,414,310 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 85,414,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,414,310) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,414,310) x common factors =1 x 10 = 10

LCM(85,414,310) = ( 85 × 414 × 310 ) / 10

LCM(85,414,310) = 10908900 / 10

LCM(85,414,310) = 1090890


Lets's calculate GCF of 982,94,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1090890/1

Therefore the LCM of Fractions 85/982,414/94,310/303 is 1090890

Greatest Common Factor of 982,94,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,94,303 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 982,94,303 . The biggest common factor number is the GCF number.
So the greatest common factor 982,94,303 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 85/982, 414/94, 310/303

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 85/982, 414/94, 310/303?

Answer: LCM of Numerators as per given numbers 85/982, 414/94, 310/303 is

LCM of Numerators i.e. for 85,414,310 is 1090890

GCF of denominators i.e. for 982,94,303 is 1.

Thus, LCM of Fractions is 1090890.Finally, LCM of Fractions for 85/982, 414/94, 310/303 is 1090890.