Least Common Multiple of 3492/862, 3123/2596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3492/862, 3123/2596 quickly i.e. 605862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3492/862, 3123/2596 is 605862.

LCM(3492/862, 3123/2596) = 605862

LCM of 3492/862, 3123/2596

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 3492/862,3123/2596

Given numbers are 3492/862,3123/2596

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 3492,3123

Least Common Multiple of Numerators i.e. LCM of 3492,3123 is 1211724.

GCF of Denominators means GCF of 862,2596 as per the given fractions.

GCF of 862,2596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3492,3123

LCM of Fractions 3492/862,3123/2596 is 605862

3 3492, 3123
3 1164, 1041
388, 347

∴ So the LCM of the given numbers is 3 x 3 x 388 x 347 = 1211724

Least Common Multiple of 3492,3123 with GCF Formula

Least Common Multiple of 3492,3123 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 3492,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3492,3123) = 9

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

GCF(3492,3123) x common factors =9 x 1 = 9

LCM(3492,3123) = ( 3492 × 3123 ) / 9

LCM(3492,3123) = 10905516 / 9

LCM(3492,3123) = 1211724


Lets's calculate GCF of 862,2596

2 862, 2596
431, 1298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1211724/2

Therefore the LCM of Fractions 3492/862,3123/2596 is 605862

Greatest Common Factor of 862,2596 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,2596 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 862,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 862,2596 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 3492/862, 3123/2596

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 3492/862, 3123/2596?

Answer: LCM of Numerators as per given numbers 3492/862, 3123/2596 is

LCM of Numerators i.e. for 3492,3123 is 1211724

GCF of denominators i.e. for 862,2596 is 2.

Thus, LCM of Fractions is 605862.Finally, LCM of Fractions for 3492/862, 3123/2596 is 605862.