Least Common Multiple of 75/692, 46/617, 530/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/692, 46/617, 530/935 quickly i.e. 182850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/692, 46/617, 530/935 is 182850.

LCM(75/692, 46/617, 530/935) = 182850

LCM of 75/692, 46/617, 530/935

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 75/692,46/617,530/935

Given numbers are 75/692,46/617,530/935

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 75,46,530

Least Common Multiple of Numerators i.e. LCM of 75,46,530 is 182850.

GCF of Denominators means GCF of 692,617,935 as per the given fractions.

GCF of 692,617,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,46,530

LCM of Fractions 75/692,46/617,530/935 is 182850

2 75, 46, 530
5 75, 23, 265
15, 23, 53

∴ So the LCM of the given numbers is 2 x 5 x 15 x 23 x 53 = 182850

Least Common Multiple of 75,46,530 with GCF Formula

Least Common Multiple of 75,46,530 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 75,46,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,46,530) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(75,46,530) x common factors =1 x 10 = 10

LCM(75,46,530) = ( 75 × 46 × 530 ) / 10

LCM(75,46,530) = 1828500 / 10

LCM(75,46,530) = 182850


Lets's calculate GCF of 692,617,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182850/1

Therefore the LCM of Fractions 75/692,46/617,530/935 is 182850

Greatest Common Factor of 692,617,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,617,935 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 935

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

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

Greatest Common Factor

We found the factors 692,617,935 . The biggest common factor number is the GCF number.
So the greatest common factor 692,617,935 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 75/692, 46/617, 530/935

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 75/692, 46/617, 530/935?

Answer: LCM of Numerators as per given numbers 75/692, 46/617, 530/935 is

LCM of Numerators i.e. for 75,46,530 is 182850

GCF of denominators i.e. for 692,617,935 is 1.

Thus, LCM of Fractions is 182850.Finally, LCM of Fractions for 75/692, 46/617, 530/935 is 182850.