Least Common Multiple of 492/595, 3485/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/595, 3485/745 quickly i.e. 8364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/595, 3485/745 is 8364.

LCM(492/595, 3485/745) = 8364

LCM of 492/595, 3485/745

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 492/595,3485/745

Given numbers are 492/595,3485/745

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 492,3485

Least Common Multiple of Numerators i.e. LCM of 492,3485 is 41820.

GCF of Denominators means GCF of 595,745 as per the given fractions.

GCF of 595,745 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,3485

LCM of Fractions 492/595,3485/745 is 8364

41 492, 3485
12, 85

∴ So the LCM of the given numbers is 41 x 12 x 85 = 41820

Least Common Multiple of 492,3485 with GCF Formula

Least Common Multiple of 492,3485 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 492,3485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,3485) = 41

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

GCF(492,3485) x common factors =41 x 1 = 41

LCM(492,3485) = ( 492 × 3485 ) / 41

LCM(492,3485) = 1714620 / 41

LCM(492,3485) = 41820


Lets's calculate GCF of 595,745

5 595, 745
119, 149

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41820/5

Therefore the LCM of Fractions 492/595,3485/745 is 8364

Greatest Common Factor of 595,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,745 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 595,745 . The biggest common factor number is the GCF number.
So the greatest common factor 595,745 is 5.


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 492/595, 3485/745

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 492/595, 3485/745?

Answer: LCM of Numerators as per given numbers 492/595, 3485/745 is

LCM of Numerators i.e. for 492,3485 is 41820

GCF of denominators i.e. for 595,745 is 5.

Thus, LCM of Fractions is 8364.Finally, LCM of Fractions for 492/595, 3485/745 is 8364.