Least Common Multiple of 3485/447, 7891/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3485/447, 7891/149 quickly i.e. 27500135/149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3485/447, 7891/149 is 27500135/149.

LCM(3485/447, 7891/149) = 27500135/149

LCM of 3485/447, 7891/149

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 3485/447,7891/149

Given numbers are 3485/447,7891/149

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 3485,7891

Least Common Multiple of Numerators i.e. LCM of 3485,7891 is 27500135.

GCF of Denominators means GCF of 447,149 as per the given fractions.

GCF of 447,149 is 149 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3485,7891

LCM of Fractions 3485/447,7891/149 is 27500135/149

Given numbers has no common factors except 1. So, there LCM is their product i.e 27500135

Least Common Multiple of 3485,7891 with GCF Formula

Least Common Multiple of 3485,7891 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 3485,7891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3485,7891) = 1

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

GCF(3485,7891) x common factors =1 x 1 = 1

LCM(3485,7891) = ( 3485 × 7891 ) / 1

LCM(3485,7891) = 27500135 / 1

LCM(3485,7891) = 27500135


Lets's calculate GCF of 447,149

149 447, 149
3, 1

∴ So the GCF of the given numbers is 149 = 149

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27500135/149

Therefore the LCM of Fractions 3485/447,7891/149 is 27500135/149

Greatest Common Factor of 447,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,149 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 447,149 . The biggest common factor number is the GCF number.
So the greatest common factor 447,149 is 149.


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 3485/447, 7891/149

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 3485/447, 7891/149?

Answer: LCM of Numerators as per given numbers 3485/447, 7891/149 is

LCM of Numerators i.e. for 3485,7891 is 27500135

GCF of denominators i.e. for 447,149 is 149.

Thus, LCM of Fractions is 27500135/149.Finally, LCM of Fractions for 3485/447, 7891/149 is 27500135/149.