Least Common Multiple of 98/77, 86/41, 219/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/77, 86/41, 219/664 quickly i.e. 922866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/77, 86/41, 219/664 is 922866.

LCM(98/77, 86/41, 219/664) = 922866

LCM of 98/77, 86/41, 219/664

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 98/77,86/41,219/664

Given numbers are 98/77,86/41,219/664

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 98,86,219

Least Common Multiple of Numerators i.e. LCM of 98,86,219 is 922866.

GCF of Denominators means GCF of 77,41,664 as per the given fractions.

GCF of 77,41,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,86,219

LCM of Fractions 98/77,86/41,219/664 is 922866

2 98, 86, 219
49, 43, 219

∴ So the LCM of the given numbers is 2 x 49 x 43 x 219 = 922866

Least Common Multiple of 98,86,219 with GCF Formula

Least Common Multiple of 98,86,219 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 98,86,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,86,219) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,86,219) x common factors =1 x 2 = 2

LCM(98,86,219) = ( 98 × 86 × 219 ) / 2

LCM(98,86,219) = 1845732 / 2

LCM(98,86,219) = 922866


Lets's calculate GCF of 77,41,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 922866/1

Therefore the LCM of Fractions 98/77,86/41,219/664 is 922866

Greatest Common Factor of 77,41,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,41,664 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 77,41,664 . The biggest common factor number is the GCF number.
So the greatest common factor 77,41,664 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 98/77, 86/41, 219/664

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 98/77, 86/41, 219/664?

Answer: LCM of Numerators as per given numbers 98/77, 86/41, 219/664 is

LCM of Numerators i.e. for 98,86,219 is 922866

GCF of denominators i.e. for 77,41,664 is 1.

Thus, LCM of Fractions is 922866.Finally, LCM of Fractions for 98/77, 86/41, 219/664 is 922866.