Least Common Multiple of 1484/176, 7284/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1484/176, 7284/649 quickly i.e. 2702364/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1484/176, 7284/649 is 2702364/11.

LCM(1484/176, 7284/649) = 2702364/11

LCM of 1484/176, 7284/649

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 1484/176,7284/649

Given numbers are 1484/176,7284/649

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 1484,7284

Least Common Multiple of Numerators i.e. LCM of 1484,7284 is 2702364.

GCF of Denominators means GCF of 176,649 as per the given fractions.

GCF of 176,649 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1484,7284

LCM of Fractions 1484/176,7284/649 is 2702364/11

2 1484, 7284
2 742, 3642
371, 1821

∴ So the LCM of the given numbers is 2 x 2 x 371 x 1821 = 2702364

Least Common Multiple of 1484,7284 with GCF Formula

Least Common Multiple of 1484,7284 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 1484,7284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1484,7284) = 4

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

GCF(1484,7284) x common factors =4 x 1 = 4

LCM(1484,7284) = ( 1484 × 7284 ) / 4

LCM(1484,7284) = 10809456 / 4

LCM(1484,7284) = 2702364


Lets's calculate GCF of 176,649

11 176, 649
16, 59

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2702364/11

Therefore the LCM of Fractions 1484/176,7284/649 is 2702364/11

Greatest Common Factor of 176,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,649 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 176,649 . The biggest common factor number is the GCF number.
So the greatest common factor 176,649 is 11.


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 1484/176, 7284/649

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 1484/176, 7284/649?

Answer: LCM of Numerators as per given numbers 1484/176, 7284/649 is

LCM of Numerators i.e. for 1484,7284 is 2702364

GCF of denominators i.e. for 176,649 is 11.

Thus, LCM of Fractions is 2702364/11.Finally, LCM of Fractions for 1484/176, 7284/649 is 2702364/11.