Least Common Multiple of 49/18, 144/64, 436/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/18, 144/64, 436/961 quickly i.e. 769104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/18, 144/64, 436/961 is 769104.

LCM(49/18, 144/64, 436/961) = 769104

LCM of 49/18, 144/64, 436/961

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 49/18,144/64,436/961

Given numbers are 49/18,144/64,436/961

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 49,144,436

Least Common Multiple of Numerators i.e. LCM of 49,144,436 is 769104.

GCF of Denominators means GCF of 18,64,961 as per the given fractions.

GCF of 18,64,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,144,436

LCM of Fractions 49/18,144/64,436/961 is 769104

2 49, 144, 436
2 49, 72, 218
49, 36, 109

∴ So the LCM of the given numbers is 2 x 2 x 49 x 36 x 109 = 769104

Least Common Multiple of 49,144,436 with GCF Formula

Least Common Multiple of 49,144,436 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 49,144,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,144,436) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(49,144,436) x common factors =1 x 4 = 4

LCM(49,144,436) = ( 49 × 144 × 436 ) / 4

LCM(49,144,436) = 3076416 / 4

LCM(49,144,436) = 769104


Lets's calculate GCF of 18,64,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769104/1

Therefore the LCM of Fractions 49/18,144/64,436/961 is 769104

Greatest Common Factor of 18,64,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,64,961 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 18,64,961 . The biggest common factor number is the GCF number.
So the greatest common factor 18,64,961 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 49/18, 144/64, 436/961

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 49/18, 144/64, 436/961?

Answer: LCM of Numerators as per given numbers 49/18, 144/64, 436/961 is

LCM of Numerators i.e. for 49,144,436 is 769104

GCF of denominators i.e. for 18,64,961 is 1.

Thus, LCM of Fractions is 769104.Finally, LCM of Fractions for 49/18, 144/64, 436/961 is 769104.