Least Common Multiple of 84/992, 374/374, 186/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/992, 374/374, 186/943 quickly i.e. 486948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/992, 374/374, 186/943 is 486948.

LCM(84/992, 374/374, 186/943) = 486948

LCM of 84/992, 374/374, 186/943

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 84/992,374/374,186/943

Given numbers are 84/992,374/374,186/943

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 84,374,186

Least Common Multiple of Numerators i.e. LCM of 84,374,186 is 486948.

GCF of Denominators means GCF of 992,374,943 as per the given fractions.

GCF of 992,374,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,374,186

LCM of Fractions 84/992,374/374,186/943 is 486948

2 84, 374, 186
3 42, 187, 93
14, 187, 31

∴ So the LCM of the given numbers is 2 x 3 x 14 x 187 x 31 = 486948

Least Common Multiple of 84,374,186 with GCF Formula

Least Common Multiple of 84,374,186 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 84,374,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,374,186) = 2

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

GCF(84,374,186) x common factors =2 x 6 = 12

LCM(84,374,186) = ( 84 × 374 × 186 ) / 12

LCM(84,374,186) = 5843376 / 12

LCM(84,374,186) = 486948


Lets's calculate GCF of 992,374,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486948/1

Therefore the LCM of Fractions 84/992,374/374,186/943 is 486948

Greatest Common Factor of 992,374,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,374,943 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 992,374,943 . The biggest common factor number is the GCF number.
So the greatest common factor 992,374,943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/992, 374/374, 186/943

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 84/992, 374/374, 186/943?

Answer: LCM of Numerators as per given numbers 84/992, 374/374, 186/943 is

LCM of Numerators i.e. for 84,374,186 is 486948

GCF of denominators i.e. for 992,374,943 is 1.

Thus, LCM of Fractions is 486948.Finally, LCM of Fractions for 84/992, 374/374, 186/943 is 486948.