Least Common Multiple of 128/35, 884/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/35, 884/695 quickly i.e. 28288/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/35, 884/695 is 28288/5.

LCM(128/35, 884/695) = 28288/5

LCM of 128/35, 884/695

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 128/35,884/695

Given numbers are 128/35,884/695

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 128,884

Least Common Multiple of Numerators i.e. LCM of 128,884 is 28288.

GCF of Denominators means GCF of 35,695 as per the given fractions.

GCF of 35,695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,884

LCM of Fractions 128/35,884/695 is 28288/5

2 128, 884
2 64, 442
32, 221

∴ So the LCM of the given numbers is 2 x 2 x 32 x 221 = 28288

Least Common Multiple of 128,884 with GCF Formula

Least Common Multiple of 128,884 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 128,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,884) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(128,884) x common factors =4 x 1 = 4

LCM(128,884) = ( 128 × 884 ) / 4

LCM(128,884) = 113152 / 4

LCM(128,884) = 28288


Lets's calculate GCF of 35,695

5 35, 695
7, 139

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28288/5

Therefore the LCM of Fractions 128/35,884/695 is 28288/5

Greatest Common Factor of 35,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,695 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 35,695 . The biggest common factor number is the GCF number.
So the greatest common factor 35,695 is 5.


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 128/35, 884/695

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 128/35, 884/695?

Answer: LCM of Numerators as per given numbers 128/35, 884/695 is

LCM of Numerators i.e. for 128,884 is 28288

GCF of denominators i.e. for 35,695 is 5.

Thus, LCM of Fractions is 28288/5.Finally, LCM of Fractions for 128/35, 884/695 is 28288/5.