Least Common Multiple of 3520/892, 4697/1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3520/892, 4697/1632 quickly i.e. 375760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3520/892, 4697/1632 is 375760.

LCM(3520/892, 4697/1632) = 375760

LCM of 3520/892, 4697/1632

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 3520/892,4697/1632

Given numbers are 3520/892,4697/1632

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 3520,4697

Least Common Multiple of Numerators i.e. LCM of 3520,4697 is 1503040.

GCF of Denominators means GCF of 892,1632 as per the given fractions.

GCF of 892,1632 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3520,4697

LCM of Fractions 3520/892,4697/1632 is 375760

11 3520, 4697
320, 427

∴ So the LCM of the given numbers is 11 x 320 x 427 = 1503040

Least Common Multiple of 3520,4697 with GCF Formula

Least Common Multiple of 3520,4697 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 3520,4697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3520,4697) = 11

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

GCF(3520,4697) x common factors =11 x 1 = 11

LCM(3520,4697) = ( 3520 × 4697 ) / 11

LCM(3520,4697) = 16533440 / 11

LCM(3520,4697) = 1503040


Lets's calculate GCF of 892,1632

2 892, 1632
2 446, 816
223, 408

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1503040/4

Therefore the LCM of Fractions 3520/892,4697/1632 is 375760

Greatest Common Factor of 892,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,1632 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Greatest Common Factor

We found the factors 892,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 892,1632 is 4.


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 3520/892, 4697/1632

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 3520/892, 4697/1632?

Answer: LCM of Numerators as per given numbers 3520/892, 4697/1632 is

LCM of Numerators i.e. for 3520,4697 is 1503040

GCF of denominators i.e. for 892,1632 is 4.

Thus, LCM of Fractions is 375760.Finally, LCM of Fractions for 3520/892, 4697/1632 is 375760.