Least Common Multiple of 120/14, 455/44, 784/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/14, 455/44, 784/38 quickly i.e. 76440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/14, 455/44, 784/38 is 76440.

LCM(120/14, 455/44, 784/38) = 76440

LCM of 120/14, 455/44, 784/38

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 120/14,455/44,784/38

Given numbers are 120/14,455/44,784/38

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 120,455,784

Least Common Multiple of Numerators i.e. LCM of 120,455,784 is 152880.

GCF of Denominators means GCF of 14,44,38 as per the given fractions.

GCF of 14,44,38 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,455,784

LCM of Fractions 120/14,455/44,784/38 is 76440

2 120, 455, 784
2 60, 455, 392
2 30, 455, 196
5 15, 455, 98
7 3, 91, 98
3, 13, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 3 x 13 x 14 = 152880

Least Common Multiple of 120,455,784 with GCF Formula

Least Common Multiple of 120,455,784 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 120,455,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,455,784) = 1

common factors(in case of two or more numbers have common factors) = 280

GCF(120,455,784) x common factors =1 x 280 = 280

LCM(120,455,784) = ( 120 × 455 × 784 ) / 280

LCM(120,455,784) = 42806400 / 280

LCM(120,455,784) = 152880


Lets's calculate GCF of 14,44,38

2 14, 44, 38
7, 22, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152880/2

Therefore the LCM of Fractions 120/14,455/44,784/38 is 76440

Greatest Common Factor of 14,44,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,44,38 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 14,44,38 . The biggest common factor number is the GCF number.
So the greatest common factor 14,44,38 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 120/14, 455/44, 784/38

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 120/14, 455/44, 784/38?

Answer: LCM of Numerators as per given numbers 120/14, 455/44, 784/38 is

LCM of Numerators i.e. for 120,455,784 is 152880

GCF of denominators i.e. for 14,44,38 is 2.

Thus, LCM of Fractions is 76440.Finally, LCM of Fractions for 120/14, 455/44, 784/38 is 76440.