Least Common Multiple of 702/924, 4056/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 702/924, 4056/533 quickly i.e. 36504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/924, 4056/533 is 36504.

LCM(702/924, 4056/533) = 36504

LCM of 702/924, 4056/533

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 702/924,4056/533

Given numbers are 702/924,4056/533

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 702,4056

Least Common Multiple of Numerators i.e. LCM of 702,4056 is 36504.

GCF of Denominators means GCF of 924,533 as per the given fractions.

GCF of 924,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,4056

LCM of Fractions 702/924,4056/533 is 36504

2 702, 4056
3 351, 2028
13 117, 676
9, 52

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 52 = 36504

Least Common Multiple of 702,4056 with GCF Formula

Least Common Multiple of 702,4056 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 702,4056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,4056) = 78

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

GCF(702,4056) x common factors =78 x 1 = 78

LCM(702,4056) = ( 702 × 4056 ) / 78

LCM(702,4056) = 2847312 / 78

LCM(702,4056) = 36504


Lets's calculate GCF of 924,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36504/1

Therefore the LCM of Fractions 702/924,4056/533 is 36504

Greatest Common Factor of 924,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,533 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 924,533 . The biggest common factor number is the GCF number.
So the greatest common factor 924,533 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 702/924, 4056/533

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 702/924, 4056/533?

Answer: LCM of Numerators as per given numbers 702/924, 4056/533 is

LCM of Numerators i.e. for 702,4056 is 36504

GCF of denominators i.e. for 924,533 is 1.

Thus, LCM of Fractions is 36504.Finally, LCM of Fractions for 702/924, 4056/533 is 36504.