Least Common Multiple of 149/14, 1795/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/14, 1795/436 quickly i.e. 267455/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/14, 1795/436 is 267455/2.

LCM(149/14, 1795/436) = 267455/2

LCM of 149/14, 1795/436

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 149/14,1795/436

Given numbers are 149/14,1795/436

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 149,1795

Least Common Multiple of Numerators i.e. LCM of 149,1795 is 267455.

GCF of Denominators means GCF of 14,436 as per the given fractions.

GCF of 14,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,1795

LCM of Fractions 149/14,1795/436 is 267455/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 267455

Least Common Multiple of 149,1795 with GCF Formula

Least Common Multiple of 149,1795 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 149,1795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,1795) = 1

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

GCF(149,1795) x common factors =1 x 1 = 1

LCM(149,1795) = ( 149 × 1795 ) / 1

LCM(149,1795) = 267455 / 1

LCM(149,1795) = 267455


Lets's calculate GCF of 14,436

2 14, 436
7, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267455/2

Therefore the LCM of Fractions 149/14,1795/436 is 267455/2

Greatest Common Factor of 14,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,436 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 14,436 . The biggest common factor number is the GCF number.
So the greatest common factor 14,436 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 149/14, 1795/436

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 149/14, 1795/436?

Answer: LCM of Numerators as per given numbers 149/14, 1795/436 is

LCM of Numerators i.e. for 149,1795 is 267455

GCF of denominators i.e. for 14,436 is 2.

Thus, LCM of Fractions is 267455/2.Finally, LCM of Fractions for 149/14, 1795/436 is 267455/2.