Least Common Multiple of 38/918, 82/726, 896/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/918, 82/726, 896/914 quickly i.e. 348992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/918, 82/726, 896/914 is 348992.

LCM(38/918, 82/726, 896/914) = 348992

LCM of 38/918, 82/726, 896/914

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 38/918,82/726,896/914

Given numbers are 38/918,82/726,896/914

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 38,82,896

Least Common Multiple of Numerators i.e. LCM of 38,82,896 is 697984.

GCF of Denominators means GCF of 918,726,914 as per the given fractions.

GCF of 918,726,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,82,896

LCM of Fractions 38/918,82/726,896/914 is 348992

2 38, 82, 896
19, 41, 448

∴ So the LCM of the given numbers is 2 x 19 x 41 x 448 = 697984

Least Common Multiple of 38,82,896 with GCF Formula

Least Common Multiple of 38,82,896 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 38,82,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,82,896) = 2

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

GCF(38,82,896) x common factors =2 x 2 = 4

LCM(38,82,896) = ( 38 × 82 × 896 ) / 4

LCM(38,82,896) = 2791936 / 4

LCM(38,82,896) = 697984


Lets's calculate GCF of 918,726,914

2 918, 726, 914
459, 363, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 697984/2

Therefore the LCM of Fractions 38/918,82/726,896/914 is 348992

Greatest Common Factor of 918,726,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,726,914 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 918,726,914 . The biggest common factor number is the GCF number.
So the greatest common factor 918,726,914 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 38/918, 82/726, 896/914

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 38/918, 82/726, 896/914?

Answer: LCM of Numerators as per given numbers 38/918, 82/726, 896/914 is

LCM of Numerators i.e. for 38,82,896 is 697984

GCF of denominators i.e. for 918,726,914 is 2.

Thus, LCM of Fractions is 348992.Finally, LCM of Fractions for 38/918, 82/726, 896/914 is 348992.