Least Common Multiple of 652/38, 534/58, 888/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 652/38, 534/58, 888/269 quickly i.e. 12882216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/38, 534/58, 888/269 is 12882216.

LCM(652/38, 534/58, 888/269) = 12882216

LCM of 652/38, 534/58, 888/269

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 652/38,534/58,888/269

Given numbers are 652/38,534/58,888/269

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 652,534,888

Least Common Multiple of Numerators i.e. LCM of 652,534,888 is 12882216.

GCF of Denominators means GCF of 38,58,269 as per the given fractions.

GCF of 38,58,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,534,888

LCM of Fractions 652/38,534/58,888/269 is 12882216

2 652, 534, 888
2 326, 267, 444
3 163, 267, 222
163, 89, 74

∴ So the LCM of the given numbers is 2 x 2 x 3 x 163 x 89 x 74 = 12882216

Least Common Multiple of 652,534,888 with GCF Formula

Least Common Multiple of 652,534,888 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 652,534,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,534,888) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(652,534,888) x common factors =2 x 12 = 24

LCM(652,534,888) = ( 652 × 534 × 888 ) / 24

LCM(652,534,888) = 309173184 / 24

LCM(652,534,888) = 12882216


Lets's calculate GCF of 38,58,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12882216/1

Therefore the LCM of Fractions 652/38,534/58,888/269 is 12882216

Greatest Common Factor of 38,58,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,58,269 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 38,58,269 . The biggest common factor number is the GCF number.
So the greatest common factor 38,58,269 is 1.


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Frequently Asked Questions on Fractional LCM of 652/38, 534/58, 888/269

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 652/38, 534/58, 888/269?

Answer: LCM of Numerators as per given numbers 652/38, 534/58, 888/269 is

LCM of Numerators i.e. for 652,534,888 is 12882216

GCF of denominators i.e. for 38,58,269 is 1.

Thus, LCM of Fractions is 12882216.Finally, LCM of Fractions for 652/38, 534/58, 888/269 is 12882216.