Least Common Multiple of 218/408, 4750/8945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/408, 4750/8945 quickly i.e. 517750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/408, 4750/8945 is 517750.

LCM(218/408, 4750/8945) = 517750

LCM of 218/408, 4750/8945

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 218/408,4750/8945

Given numbers are 218/408,4750/8945

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 218,4750

Least Common Multiple of Numerators i.e. LCM of 218,4750 is 517750.

GCF of Denominators means GCF of 408,8945 as per the given fractions.

GCF of 408,8945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,4750

LCM of Fractions 218/408,4750/8945 is 517750

2 218, 4750
109, 2375

∴ So the LCM of the given numbers is 2 x 109 x 2375 = 517750

Least Common Multiple of 218,4750 with GCF Formula

Least Common Multiple of 218,4750 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 218,4750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,4750) = 2

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

GCF(218,4750) x common factors =2 x 1 = 2

LCM(218,4750) = ( 218 × 4750 ) / 2

LCM(218,4750) = 1035500 / 2

LCM(218,4750) = 517750


Lets's calculate GCF of 408,8945

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517750/1

Therefore the LCM of Fractions 218/408,4750/8945 is 517750

Greatest Common Factor of 408,8945 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,8945 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Greatest Common Factor

We found the factors 408,8945 . The biggest common factor number is the GCF number.
So the greatest common factor 408,8945 is 1.


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 218/408, 4750/8945

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 218/408, 4750/8945?

Answer: LCM of Numerators as per given numbers 218/408, 4750/8945 is

LCM of Numerators i.e. for 218,4750 is 517750

GCF of denominators i.e. for 408,8945 is 1.

Thus, LCM of Fractions is 517750.Finally, LCM of Fractions for 218/408, 4750/8945 is 517750.