Least Common Multiple of 849/68, 364/1016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/68, 364/1016 quickly i.e. 77259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/68, 364/1016 is 77259.

LCM(849/68, 364/1016) = 77259

LCM of 849/68, 364/1016

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 849/68,364/1016

Given numbers are 849/68,364/1016

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 849,364

Least Common Multiple of Numerators i.e. LCM of 849,364 is 309036.

GCF of Denominators means GCF of 68,1016 as per the given fractions.

GCF of 68,1016 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,364

LCM of Fractions 849/68,364/1016 is 77259

Given numbers has no common factors except 1. So, there LCM is their product i.e 309036

Least Common Multiple of 849,364 with GCF Formula

Least Common Multiple of 849,364 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 849,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,364) = 1

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

GCF(849,364) x common factors =1 x 1 = 1

LCM(849,364) = ( 849 × 364 ) / 1

LCM(849,364) = 309036 / 1

LCM(849,364) = 309036


Lets's calculate GCF of 68,1016

2 68, 1016
2 34, 508
17, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309036/4

Therefore the LCM of Fractions 849/68,364/1016 is 77259

Greatest Common Factor of 68,1016 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,1016 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

Greatest Common Factor

We found the factors 68,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 68,1016 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 849/68, 364/1016

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 849/68, 364/1016?

Answer: LCM of Numerators as per given numbers 849/68, 364/1016 is

LCM of Numerators i.e. for 849,364 is 309036

GCF of denominators i.e. for 68,1016 is 4.

Thus, LCM of Fractions is 77259.Finally, LCM of Fractions for 849/68, 364/1016 is 77259.