Least Common Multiple of 1/134, 78/382, 90/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/134, 78/382, 90/994 quickly i.e. 585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/134, 78/382, 90/994 is 585.

LCM(1/134, 78/382, 90/994) = 585

LCM of 1/134, 78/382, 90/994

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 1/134,78/382,90/994

Given numbers are 1/134,78/382,90/994

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 1,78,90

Least Common Multiple of Numerators i.e. LCM of 1,78,90 is 1170.

GCF of Denominators means GCF of 134,382,994 as per the given fractions.

GCF of 134,382,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,78,90

LCM of Fractions 1/134,78/382,90/994 is 585

2 1, 78, 90
3 1, 39, 45
1, 13, 15

∴ So the LCM of the given numbers is 2 x 3 x 1 x 13 x 15 = 1170

Least Common Multiple of 1,78,90 with GCF Formula

Least Common Multiple of 1,78,90 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 1,78,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,78,90) = 1

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

GCF(1,78,90) x common factors =1 x 6 = 6

LCM(1,78,90) = ( 1 × 78 × 90 ) / 6

LCM(1,78,90) = 7020 / 6

LCM(1,78,90) = 1170


Lets's calculate GCF of 134,382,994

2 134, 382, 994
67, 191, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170/2

Therefore the LCM of Fractions 1/134,78/382,90/994 is 585

Greatest Common Factor of 134,382,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,382,994 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 134,382,994 . The biggest common factor number is the GCF number.
So the greatest common factor 134,382,994 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 1/134, 78/382, 90/994

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 1/134, 78/382, 90/994?

Answer: LCM of Numerators as per given numbers 1/134, 78/382, 90/994 is

LCM of Numerators i.e. for 1,78,90 is 1170

GCF of denominators i.e. for 134,382,994 is 2.

Thus, LCM of Fractions is 585.Finally, LCM of Fractions for 1/134, 78/382, 90/994 is 585.