Least Common Multiple of 2126/216, 3952/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2126/216, 3952/518 quickly i.e. 2100488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2126/216, 3952/518 is 2100488.

LCM(2126/216, 3952/518) = 2100488

LCM of 2126/216, 3952/518

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 2126/216,3952/518

Given numbers are 2126/216,3952/518

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 2126,3952

Least Common Multiple of Numerators i.e. LCM of 2126,3952 is 4200976.

GCF of Denominators means GCF of 216,518 as per the given fractions.

GCF of 216,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2126,3952

LCM of Fractions 2126/216,3952/518 is 2100488

2 2126, 3952
1063, 1976

∴ So the LCM of the given numbers is 2 x 1063 x 1976 = 4200976

Least Common Multiple of 2126,3952 with GCF Formula

Least Common Multiple of 2126,3952 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 2126,3952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2126,3952) = 2

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

GCF(2126,3952) x common factors =2 x 1 = 2

LCM(2126,3952) = ( 2126 × 3952 ) / 2

LCM(2126,3952) = 8401952 / 2

LCM(2126,3952) = 4200976


Lets's calculate GCF of 216,518

2 216, 518
108, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200976/2

Therefore the LCM of Fractions 2126/216,3952/518 is 2100488

Greatest Common Factor of 216,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,518 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 216,518 . The biggest common factor number is the GCF number.
So the greatest common factor 216,518 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 2126/216, 3952/518

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 2126/216, 3952/518?

Answer: LCM of Numerators as per given numbers 2126/216, 3952/518 is

LCM of Numerators i.e. for 2126,3952 is 4200976

GCF of denominators i.e. for 216,518 is 2.

Thus, LCM of Fractions is 2100488.Finally, LCM of Fractions for 2126/216, 3952/518 is 2100488.