Least Common Multiple of 69/935, 149/75, 383/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/935, 149/75, 383/762 quickly i.e. 3937623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/935, 149/75, 383/762 is 3937623.

LCM(69/935, 149/75, 383/762) = 3937623

LCM of 69/935, 149/75, 383/762

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 69/935,149/75,383/762

Given numbers are 69/935,149/75,383/762

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 69,149,383

Least Common Multiple of Numerators i.e. LCM of 69,149,383 is 3937623.

GCF of Denominators means GCF of 935,75,762 as per the given fractions.

GCF of 935,75,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,149,383

LCM of Fractions 69/935,149/75,383/762 is 3937623

Given numbers has no common factors except 1. So, there LCM is their product i.e 3937623

Least Common Multiple of 69,149,383 with GCF Formula

Least Common Multiple of 69,149,383 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 69,149,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,149,383) = 1

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

GCF(69,149,383) x common factors =1 x 1 = 1

LCM(69,149,383) = ( 69 × 149 × 383 ) / 1

LCM(69,149,383) = 3937623 / 1

LCM(69,149,383) = 3937623


Lets's calculate GCF of 935,75,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3937623/1

Therefore the LCM of Fractions 69/935,149/75,383/762 is 3937623

Greatest Common Factor of 935,75,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,75,762 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 935,75,762 . The biggest common factor number is the GCF number.
So the greatest common factor 935,75,762 is 1.


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 69/935, 149/75, 383/762

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 69/935, 149/75, 383/762?

Answer: LCM of Numerators as per given numbers 69/935, 149/75, 383/762 is

LCM of Numerators i.e. for 69,149,383 is 3937623

GCF of denominators i.e. for 935,75,762 is 1.

Thus, LCM of Fractions is 3937623.Finally, LCM of Fractions for 69/935, 149/75, 383/762 is 3937623.