Least Common Multiple of 380/49, 844/94, 144/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/49, 844/94, 144/426 quickly i.e. 2886480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/49, 844/94, 144/426 is 2886480.

LCM(380/49, 844/94, 144/426) = 2886480

LCM of 380/49, 844/94, 144/426

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 380/49,844/94,144/426

Given numbers are 380/49,844/94,144/426

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 380,844,144

Least Common Multiple of Numerators i.e. LCM of 380,844,144 is 2886480.

GCF of Denominators means GCF of 49,94,426 as per the given fractions.

GCF of 49,94,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,844,144

LCM of Fractions 380/49,844/94,144/426 is 2886480

2 380, 844, 144
2 190, 422, 72
95, 211, 36

∴ So the LCM of the given numbers is 2 x 2 x 95 x 211 x 36 = 2886480

Least Common Multiple of 380,844,144 with GCF Formula

Least Common Multiple of 380,844,144 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 380,844,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,844,144) = 4

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

GCF(380,844,144) x common factors =4 x 4 = 16

LCM(380,844,144) = ( 380 × 844 × 144 ) / 16

LCM(380,844,144) = 46183680 / 16

LCM(380,844,144) = 2886480


Lets's calculate GCF of 49,94,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2886480/1

Therefore the LCM of Fractions 380/49,844/94,144/426 is 2886480

Greatest Common Factor of 49,94,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,94,426 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 49,94,426 . The biggest common factor number is the GCF number.
So the greatest common factor 49,94,426 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 380/49, 844/94, 144/426

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 380/49, 844/94, 144/426?

Answer: LCM of Numerators as per given numbers 380/49, 844/94, 144/426 is

LCM of Numerators i.e. for 380,844,144 is 2886480

GCF of denominators i.e. for 49,94,426 is 1.

Thus, LCM of Fractions is 2886480.Finally, LCM of Fractions for 380/49, 844/94, 144/426 is 2886480.