Least Common Multiple of 385/90, 914/6106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/90, 914/6106 quickly i.e. 175945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/90, 914/6106 is 175945.

LCM(385/90, 914/6106) = 175945

LCM of 385/90, 914/6106

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 385/90,914/6106

Given numbers are 385/90,914/6106

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 385,914

Least Common Multiple of Numerators i.e. LCM of 385,914 is 351890.

GCF of Denominators means GCF of 90,6106 as per the given fractions.

GCF of 90,6106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,914

LCM of Fractions 385/90,914/6106 is 175945

Given numbers has no common factors except 1. So, there LCM is their product i.e 351890

Least Common Multiple of 385,914 with GCF Formula

Least Common Multiple of 385,914 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 385,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,914) = 1

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

GCF(385,914) x common factors =1 x 1 = 1

LCM(385,914) = ( 385 × 914 ) / 1

LCM(385,914) = 351890 / 1

LCM(385,914) = 351890


Lets's calculate GCF of 90,6106

2 90, 6106
45, 3053

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351890/2

Therefore the LCM of Fractions 385/90,914/6106 is 175945

Greatest Common Factor of 90,6106 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,6106 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 6106

List of positive integer factors of 6106 that divides 6106 without a remainder.

1,2,43,71,86,142,3053,6106

Greatest Common Factor

We found the factors 90,6106 . The biggest common factor number is the GCF number.
So the greatest common factor 90,6106 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 385/90, 914/6106

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 385/90, 914/6106?

Answer: LCM of Numerators as per given numbers 385/90, 914/6106 is

LCM of Numerators i.e. for 385,914 is 351890

GCF of denominators i.e. for 90,6106 is 2.

Thus, LCM of Fractions is 175945.Finally, LCM of Fractions for 385/90, 914/6106 is 175945.