Least Common Multiple of 14/158, 619/896, 588/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/158, 619/896, 588/138 quickly i.e. 181986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/158, 619/896, 588/138 is 181986.

LCM(14/158, 619/896, 588/138) = 181986

LCM of 14/158, 619/896, 588/138

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 14/158,619/896,588/138

Given numbers are 14/158,619/896,588/138

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 14,619,588

Least Common Multiple of Numerators i.e. LCM of 14,619,588 is 363972.

GCF of Denominators means GCF of 158,896,138 as per the given fractions.

GCF of 158,896,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,619,588

LCM of Fractions 14/158,619/896,588/138 is 181986

2 14, 619, 588
7 7, 619, 294
1, 619, 42

∴ So the LCM of the given numbers is 2 x 7 x 1 x 619 x 42 = 363972

Least Common Multiple of 14,619,588 with GCF Formula

Least Common Multiple of 14,619,588 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 14,619,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,619,588) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,619,588) x common factors =1 x 14 = 14

LCM(14,619,588) = ( 14 × 619 × 588 ) / 14

LCM(14,619,588) = 5095608 / 14

LCM(14,619,588) = 363972


Lets's calculate GCF of 158,896,138

2 158, 896, 138
79, 448, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363972/2

Therefore the LCM of Fractions 14/158,619/896,588/138 is 181986

Greatest Common Factor of 158,896,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,896,138 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 158,896,138 . The biggest common factor number is the GCF number.
So the greatest common factor 158,896,138 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 14/158, 619/896, 588/138

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 14/158, 619/896, 588/138?

Answer: LCM of Numerators as per given numbers 14/158, 619/896, 588/138 is

LCM of Numerators i.e. for 14,619,588 is 363972

GCF of denominators i.e. for 158,896,138 is 2.

Thus, LCM of Fractions is 181986.Finally, LCM of Fractions for 14/158, 619/896, 588/138 is 181986.