Least Common Multiple of 3208/924, 2652/3753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3208/924, 2652/3753 quickly i.e. 708968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3208/924, 2652/3753 is 708968.

LCM(3208/924, 2652/3753) = 708968

LCM of 3208/924, 2652/3753

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 3208/924,2652/3753

Given numbers are 3208/924,2652/3753

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 3208,2652

Least Common Multiple of Numerators i.e. LCM of 3208,2652 is 2126904.

GCF of Denominators means GCF of 924,3753 as per the given fractions.

GCF of 924,3753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3208,2652

LCM of Fractions 3208/924,2652/3753 is 708968

2 3208, 2652
2 1604, 1326
802, 663

∴ So the LCM of the given numbers is 2 x 2 x 802 x 663 = 2126904

Least Common Multiple of 3208,2652 with GCF Formula

Least Common Multiple of 3208,2652 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 3208,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3208,2652) = 4

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

GCF(3208,2652) x common factors =4 x 1 = 4

LCM(3208,2652) = ( 3208 × 2652 ) / 4

LCM(3208,2652) = 8507616 / 4

LCM(3208,2652) = 2126904


Lets's calculate GCF of 924,3753

3 924, 3753
308, 1251

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2126904/3

Therefore the LCM of Fractions 3208/924,2652/3753 is 708968

Greatest Common Factor of 924,3753 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,3753 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 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1,3,9,27,139,417,1251,3753

Greatest Common Factor

We found the factors 924,3753 . The biggest common factor number is the GCF number.
So the greatest common factor 924,3753 is 3.


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 3208/924, 2652/3753

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 3208/924, 2652/3753?

Answer: LCM of Numerators as per given numbers 3208/924, 2652/3753 is

LCM of Numerators i.e. for 3208,2652 is 2126904

GCF of denominators i.e. for 924,3753 is 3.

Thus, LCM of Fractions is 708968.Finally, LCM of Fractions for 3208/924, 2652/3753 is 708968.