Least Common Multiple of 219/416, 989/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/416, 989/708 quickly i.e. 216591/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/416, 989/708 is 216591/4.

LCM(219/416, 989/708) = 216591/4

LCM of 219/416, 989/708

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 219/416,989/708

Given numbers are 219/416,989/708

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 219,989

Least Common Multiple of Numerators i.e. LCM of 219,989 is 216591.

GCF of Denominators means GCF of 416,708 as per the given fractions.

GCF of 416,708 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,989

LCM of Fractions 219/416,989/708 is 216591/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 216591

Least Common Multiple of 219,989 with GCF Formula

Least Common Multiple of 219,989 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 219,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,989) = 1

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

GCF(219,989) x common factors =1 x 1 = 1

LCM(219,989) = ( 219 × 989 ) / 1

LCM(219,989) = 216591 / 1

LCM(219,989) = 216591


Lets's calculate GCF of 416,708

2 416, 708
2 208, 354
104, 177

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216591/4

Therefore the LCM of Fractions 219/416,989/708 is 216591/4

Greatest Common Factor of 416,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,708 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 416,708 . The biggest common factor number is the GCF number.
So the greatest common factor 416,708 is 4.


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 219/416, 989/708

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 219/416, 989/708?

Answer: LCM of Numerators as per given numbers 219/416, 989/708 is

LCM of Numerators i.e. for 219,989 is 216591

GCF of denominators i.e. for 416,708 is 4.

Thus, LCM of Fractions is 216591/4.Finally, LCM of Fractions for 219/416, 989/708 is 216591/4.