Least Common Multiple of 64/84, 82/770, 249/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/84, 82/770, 249/298 quickly i.e. 326688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/84, 82/770, 249/298 is 326688.

LCM(64/84, 82/770, 249/298) = 326688

LCM of 64/84, 82/770, 249/298

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 64/84,82/770,249/298

Given numbers are 64/84,82/770,249/298

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 64,82,249

Least Common Multiple of Numerators i.e. LCM of 64,82,249 is 653376.

GCF of Denominators means GCF of 84,770,298 as per the given fractions.

GCF of 84,770,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,82,249

LCM of Fractions 64/84,82/770,249/298 is 326688

2 64, 82, 249
32, 41, 249

∴ So the LCM of the given numbers is 2 x 32 x 41 x 249 = 653376

Least Common Multiple of 64,82,249 with GCF Formula

Least Common Multiple of 64,82,249 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 64,82,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,82,249) = 1

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

GCF(64,82,249) x common factors =1 x 2 = 2

LCM(64,82,249) = ( 64 × 82 × 249 ) / 2

LCM(64,82,249) = 1306752 / 2

LCM(64,82,249) = 653376


Lets's calculate GCF of 84,770,298

2 84, 770, 298
42, 385, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653376/2

Therefore the LCM of Fractions 64/84,82/770,249/298 is 326688

Greatest Common Factor of 84,770,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,770,298 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 84,770,298 . The biggest common factor number is the GCF number.
So the greatest common factor 84,770,298 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 64/84, 82/770, 249/298

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 64/84, 82/770, 249/298?

Answer: LCM of Numerators as per given numbers 64/84, 82/770, 249/298 is

LCM of Numerators i.e. for 64,82,249 is 653376

GCF of denominators i.e. for 84,770,298 is 2.

Thus, LCM of Fractions is 326688.Finally, LCM of Fractions for 64/84, 82/770, 249/298 is 326688.