Least Common Multiple of 218/34, 929/1816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/34, 929/1816 quickly i.e. 101261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/34, 929/1816 is 101261.

LCM(218/34, 929/1816) = 101261

LCM of 218/34, 929/1816

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 218/34,929/1816

Given numbers are 218/34,929/1816

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 218,929

Least Common Multiple of Numerators i.e. LCM of 218,929 is 202522.

GCF of Denominators means GCF of 34,1816 as per the given fractions.

GCF of 34,1816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,929

LCM of Fractions 218/34,929/1816 is 101261

Given numbers has no common factors except 1. So, there LCM is their product i.e 202522

Least Common Multiple of 218,929 with GCF Formula

Least Common Multiple of 218,929 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 218,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,929) = 1

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

GCF(218,929) x common factors =1 x 1 = 1

LCM(218,929) = ( 218 × 929 ) / 1

LCM(218,929) = 202522 / 1

LCM(218,929) = 202522


Lets's calculate GCF of 34,1816

2 34, 1816
17, 908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202522/2

Therefore the LCM of Fractions 218/34,929/1816 is 101261

Greatest Common Factor of 34,1816 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,1816 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 1816

List of positive integer factors of 1816 that divides 1816 without a remainder.

1,2,4,8,227,454,908,1816

Greatest Common Factor

We found the factors 34,1816 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1816 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 218/34, 929/1816

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 218/34, 929/1816?

Answer: LCM of Numerators as per given numbers 218/34, 929/1816 is

LCM of Numerators i.e. for 218,929 is 202522

GCF of denominators i.e. for 34,1816 is 2.

Thus, LCM of Fractions is 101261.Finally, LCM of Fractions for 218/34, 929/1816 is 101261.