Least Common Multiple of 987/94, 474/35, 719/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 987/94, 474/35, 719/183 quickly i.e. 112125174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/94, 474/35, 719/183 is 112125174.

LCM(987/94, 474/35, 719/183) = 112125174

LCM of 987/94, 474/35, 719/183

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 987/94,474/35,719/183

Given numbers are 987/94,474/35,719/183

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 987,474,719

Least Common Multiple of Numerators i.e. LCM of 987,474,719 is 112125174.

GCF of Denominators means GCF of 94,35,183 as per the given fractions.

GCF of 94,35,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,474,719

LCM of Fractions 987/94,474/35,719/183 is 112125174

3 987, 474, 719
329, 158, 719

∴ So the LCM of the given numbers is 3 x 329 x 158 x 719 = 112125174

Least Common Multiple of 987,474,719 with GCF Formula

Least Common Multiple of 987,474,719 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 987,474,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,474,719) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(987,474,719) x common factors =1 x 3 = 3

LCM(987,474,719) = ( 987 × 474 × 719 ) / 3

LCM(987,474,719) = 336375522 / 3

LCM(987,474,719) = 112125174


Lets's calculate GCF of 94,35,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112125174/1

Therefore the LCM of Fractions 987/94,474/35,719/183 is 112125174

Greatest Common Factor of 94,35,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,35,183 By Matching Biggest Common Factor Method

Factors of 94

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

1,2,47,94

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 94,35,183 . The biggest common factor number is the GCF number.
So the greatest common factor 94,35,183 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 987/94, 474/35, 719/183

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 987/94, 474/35, 719/183?

Answer: LCM of Numerators as per given numbers 987/94, 474/35, 719/183 is

LCM of Numerators i.e. for 987,474,719 is 112125174

GCF of denominators i.e. for 94,35,183 is 1.

Thus, LCM of Fractions is 112125174.Finally, LCM of Fractions for 987/94, 474/35, 719/183 is 112125174.