Least Common Multiple of 3486/758, 6880/8124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3486/758, 6880/8124 quickly i.e. 5995920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3486/758, 6880/8124 is 5995920.

LCM(3486/758, 6880/8124) = 5995920

LCM of 3486/758, 6880/8124

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 3486/758,6880/8124

Given numbers are 3486/758,6880/8124

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 3486,6880

Least Common Multiple of Numerators i.e. LCM of 3486,6880 is 11991840.

GCF of Denominators means GCF of 758,8124 as per the given fractions.

GCF of 758,8124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3486,6880

LCM of Fractions 3486/758,6880/8124 is 5995920

2 3486, 6880
1743, 3440

∴ So the LCM of the given numbers is 2 x 1743 x 3440 = 11991840

Least Common Multiple of 3486,6880 with GCF Formula

Least Common Multiple of 3486,6880 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 3486,6880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3486,6880) = 2

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

GCF(3486,6880) x common factors =2 x 1 = 2

LCM(3486,6880) = ( 3486 × 6880 ) / 2

LCM(3486,6880) = 23983680 / 2

LCM(3486,6880) = 11991840


Lets's calculate GCF of 758,8124

2 758, 8124
379, 4062

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11991840/2

Therefore the LCM of Fractions 3486/758,6880/8124 is 5995920

Greatest Common Factor of 758,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,8124 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 758,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 758,8124 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 3486/758, 6880/8124

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 3486/758, 6880/8124?

Answer: LCM of Numerators as per given numbers 3486/758, 6880/8124 is

LCM of Numerators i.e. for 3486,6880 is 11991840

GCF of denominators i.e. for 758,8124 is 2.

Thus, LCM of Fractions is 5995920.Finally, LCM of Fractions for 3486/758, 6880/8124 is 5995920.