Least Common Multiple of 69/184, 931/942, 829/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/184, 931/942, 829/642 quickly i.e. 53254131/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/184, 931/942, 829/642 is 53254131/2.

LCM(69/184, 931/942, 829/642) = 53254131/2

LCM of 69/184, 931/942, 829/642

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 69/184,931/942,829/642

Given numbers are 69/184,931/942,829/642

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 69,931,829

Least Common Multiple of Numerators i.e. LCM of 69,931,829 is 53254131.

GCF of Denominators means GCF of 184,942,642 as per the given fractions.

GCF of 184,942,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,931,829

LCM of Fractions 69/184,931/942,829/642 is 53254131/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 53254131

Least Common Multiple of 69,931,829 with GCF Formula

Least Common Multiple of 69,931,829 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 69,931,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,931,829) = 1

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

GCF(69,931,829) x common factors =1 x 1 = 1

LCM(69,931,829) = ( 69 × 931 × 829 ) / 1

LCM(69,931,829) = 53254131 / 1

LCM(69,931,829) = 53254131


Lets's calculate GCF of 184,942,642

2 184, 942, 642
92, 471, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53254131/2

Therefore the LCM of Fractions 69/184,931/942,829/642 is 53254131/2

Greatest Common Factor of 184,942,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,942,642 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 184,942,642 . The biggest common factor number is the GCF number.
So the greatest common factor 184,942,642 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 69/184, 931/942, 829/642

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 69/184, 931/942, 829/642?

Answer: LCM of Numerators as per given numbers 69/184, 931/942, 829/642 is

LCM of Numerators i.e. for 69,931,829 is 53254131

GCF of denominators i.e. for 184,942,642 is 2.

Thus, LCM of Fractions is 53254131/2.Finally, LCM of Fractions for 69/184, 931/942, 829/642 is 53254131/2.