Least Common Multiple of 38/265, 279/911, 164/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/265, 279/911, 164/688 quickly i.e. 869364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/265, 279/911, 164/688 is 869364.

LCM(38/265, 279/911, 164/688) = 869364

LCM of 38/265, 279/911, 164/688

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 38/265,279/911,164/688

Given numbers are 38/265,279/911,164/688

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 38,279,164

Least Common Multiple of Numerators i.e. LCM of 38,279,164 is 869364.

GCF of Denominators means GCF of 265,911,688 as per the given fractions.

GCF of 265,911,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,279,164

LCM of Fractions 38/265,279/911,164/688 is 869364

2 38, 279, 164
19, 279, 82

∴ So the LCM of the given numbers is 2 x 19 x 279 x 82 = 869364

Least Common Multiple of 38,279,164 with GCF Formula

Least Common Multiple of 38,279,164 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 38,279,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,279,164) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,279,164) x common factors =1 x 2 = 2

LCM(38,279,164) = ( 38 × 279 × 164 ) / 2

LCM(38,279,164) = 1738728 / 2

LCM(38,279,164) = 869364


Lets's calculate GCF of 265,911,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869364/1

Therefore the LCM of Fractions 38/265,279/911,164/688 is 869364

Greatest Common Factor of 265,911,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,911,688 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 265,911,688 . The biggest common factor number is the GCF number.
So the greatest common factor 265,911,688 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 38/265, 279/911, 164/688

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 38/265, 279/911, 164/688?

Answer: LCM of Numerators as per given numbers 38/265, 279/911, 164/688 is

LCM of Numerators i.e. for 38,279,164 is 869364

GCF of denominators i.e. for 265,911,688 is 1.

Thus, LCM of Fractions is 869364.Finally, LCM of Fractions for 38/265, 279/911, 164/688 is 869364.