Least Common Multiple of 128/42, 848/89, 994/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/42, 848/89, 994/147 quickly i.e. 3371648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/42, 848/89, 994/147 is 3371648.

LCM(128/42, 848/89, 994/147) = 3371648

LCM of 128/42, 848/89, 994/147

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 128/42,848/89,994/147

Given numbers are 128/42,848/89,994/147

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 128,848,994

Least Common Multiple of Numerators i.e. LCM of 128,848,994 is 3371648.

GCF of Denominators means GCF of 42,89,147 as per the given fractions.

GCF of 42,89,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,848,994

LCM of Fractions 128/42,848/89,994/147 is 3371648

2 128, 848, 994
2 64, 424, 497
2 32, 212, 497
2 16, 106, 497
8, 53, 497

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 8 x 53 x 497 = 3371648

Least Common Multiple of 128,848,994 with GCF Formula

Least Common Multiple of 128,848,994 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 128,848,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,848,994) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(128,848,994) x common factors =2 x 16 = 32

LCM(128,848,994) = ( 128 × 848 × 994 ) / 32

LCM(128,848,994) = 107892736 / 32

LCM(128,848,994) = 3371648


Lets's calculate GCF of 42,89,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3371648/1

Therefore the LCM of Fractions 128/42,848/89,994/147 is 3371648

Greatest Common Factor of 42,89,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,89,147 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 42,89,147 . The biggest common factor number is the GCF number.
So the greatest common factor 42,89,147 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 128/42, 848/89, 994/147

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 128/42, 848/89, 994/147?

Answer: LCM of Numerators as per given numbers 128/42, 848/89, 994/147 is

LCM of Numerators i.e. for 128,848,994 is 3371648

GCF of denominators i.e. for 42,89,147 is 1.

Thus, LCM of Fractions is 3371648.Finally, LCM of Fractions for 128/42, 848/89, 994/147 is 3371648.