Least Common Multiple of 7656/202, 3784/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7656/202, 3784/742 quickly i.e. 164604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7656/202, 3784/742 is 164604.

LCM(7656/202, 3784/742) = 164604

LCM of 7656/202, 3784/742

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 7656/202,3784/742

Given numbers are 7656/202,3784/742

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 7656,3784

Least Common Multiple of Numerators i.e. LCM of 7656,3784 is 329208.

GCF of Denominators means GCF of 202,742 as per the given fractions.

GCF of 202,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7656,3784

LCM of Fractions 7656/202,3784/742 is 164604

2 7656, 3784
2 3828, 1892
2 1914, 946
11 957, 473
87, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 87 x 43 = 329208

Least Common Multiple of 7656,3784 with GCF Formula

Least Common Multiple of 7656,3784 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 7656,3784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7656,3784) = 88

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

GCF(7656,3784) x common factors =88 x 1 = 88

LCM(7656,3784) = ( 7656 × 3784 ) / 88

LCM(7656,3784) = 28970304 / 88

LCM(7656,3784) = 329208


Lets's calculate GCF of 202,742

2 202, 742
101, 371

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329208/2

Therefore the LCM of Fractions 7656/202,3784/742 is 164604

Greatest Common Factor of 202,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,742 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 202,742 . The biggest common factor number is the GCF number.
So the greatest common factor 202,742 is 2.


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 7656/202, 3784/742

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 7656/202, 3784/742?

Answer: LCM of Numerators as per given numbers 7656/202, 3784/742 is

LCM of Numerators i.e. for 7656,3784 is 329208

GCF of denominators i.e. for 202,742 is 2.

Thus, LCM of Fractions is 164604.Finally, LCM of Fractions for 7656/202, 3784/742 is 164604.