Least Common Multiple of 702/484, 5162/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/484, 5162/649 quickly i.e. 1811862/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/484, 5162/649 is 1811862/11.

LCM(702/484, 5162/649) = 1811862/11

LCM of 702/484, 5162/649

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 702/484,5162/649

Given numbers are 702/484,5162/649

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 702,5162

Least Common Multiple of Numerators i.e. LCM of 702,5162 is 1811862.

GCF of Denominators means GCF of 484,649 as per the given fractions.

GCF of 484,649 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,5162

LCM of Fractions 702/484,5162/649 is 1811862/11

2 702, 5162
351, 2581

∴ So the LCM of the given numbers is 2 x 351 x 2581 = 1811862

Least Common Multiple of 702,5162 with GCF Formula

Least Common Multiple of 702,5162 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 702,5162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,5162) = 2

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

GCF(702,5162) x common factors =2 x 1 = 2

LCM(702,5162) = ( 702 × 5162 ) / 2

LCM(702,5162) = 3623724 / 2

LCM(702,5162) = 1811862


Lets's calculate GCF of 484,649

11 484, 649
44, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1811862/11

Therefore the LCM of Fractions 702/484,5162/649 is 1811862/11

Greatest Common Factor of 484,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,649 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

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 484,649 . The biggest common factor number is the GCF number.
So the greatest common factor 484,649 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 702/484, 5162/649

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 702/484, 5162/649?

Answer: LCM of Numerators as per given numbers 702/484, 5162/649 is

LCM of Numerators i.e. for 702,5162 is 1811862

GCF of denominators i.e. for 484,649 is 11.

Thus, LCM of Fractions is 1811862/11.Finally, LCM of Fractions for 702/484, 5162/649 is 1811862/11.