Least Common Multiple of 385/85, 728/29, 894/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/85, 728/29, 894/908 quickly i.e. 17897880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/85, 728/29, 894/908 is 17897880.

LCM(385/85, 728/29, 894/908) = 17897880

LCM of 385/85, 728/29, 894/908

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 385/85,728/29,894/908

Given numbers are 385/85,728/29,894/908

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 385,728,894

Least Common Multiple of Numerators i.e. LCM of 385,728,894 is 17897880.

GCF of Denominators means GCF of 85,29,908 as per the given fractions.

GCF of 85,29,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,728,894

LCM of Fractions 385/85,728/29,894/908 is 17897880

2 385, 728, 894
7 385, 364, 447
55, 52, 447

∴ So the LCM of the given numbers is 2 x 7 x 55 x 52 x 447 = 17897880

Least Common Multiple of 385,728,894 with GCF Formula

Least Common Multiple of 385,728,894 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 385,728,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,728,894) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(385,728,894) x common factors =1 x 14 = 14

LCM(385,728,894) = ( 385 × 728 × 894 ) / 14

LCM(385,728,894) = 250570320 / 14

LCM(385,728,894) = 17897880


Lets's calculate GCF of 85,29,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17897880/1

Therefore the LCM of Fractions 385/85,728/29,894/908 is 17897880

Greatest Common Factor of 85,29,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,29,908 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 85,29,908 . The biggest common factor number is the GCF number.
So the greatest common factor 85,29,908 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 385/85, 728/29, 894/908

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 385/85, 728/29, 894/908?

Answer: LCM of Numerators as per given numbers 385/85, 728/29, 894/908 is

LCM of Numerators i.e. for 385,728,894 is 17897880

GCF of denominators i.e. for 85,29,908 is 1.

Thus, LCM of Fractions is 17897880.Finally, LCM of Fractions for 385/85, 728/29, 894/908 is 17897880.