Least Common Multiple of 854/78, 498/1064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/78, 498/1064 quickly i.e. 106323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/78, 498/1064 is 106323.

LCM(854/78, 498/1064) = 106323

LCM of 854/78, 498/1064

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 854/78,498/1064

Given numbers are 854/78,498/1064

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 854,498

Least Common Multiple of Numerators i.e. LCM of 854,498 is 212646.

GCF of Denominators means GCF of 78,1064 as per the given fractions.

GCF of 78,1064 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,498

LCM of Fractions 854/78,498/1064 is 106323

2 854, 498
427, 249

∴ So the LCM of the given numbers is 2 x 427 x 249 = 212646

Least Common Multiple of 854,498 with GCF Formula

Least Common Multiple of 854,498 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 854,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,498) = 2

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

GCF(854,498) x common factors =2 x 1 = 2

LCM(854,498) = ( 854 × 498 ) / 2

LCM(854,498) = 425292 / 2

LCM(854,498) = 212646


Lets's calculate GCF of 78,1064

2 78, 1064
39, 532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212646/2

Therefore the LCM of Fractions 854/78,498/1064 is 106323

Greatest Common Factor of 78,1064 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1064 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064

Greatest Common Factor

We found the factors 78,1064 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1064 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 854/78, 498/1064

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 854/78, 498/1064?

Answer: LCM of Numerators as per given numbers 854/78, 498/1064 is

LCM of Numerators i.e. for 854,498 is 212646

GCF of denominators i.e. for 78,1064 is 2.

Thus, LCM of Fractions is 106323.Finally, LCM of Fractions for 854/78, 498/1064 is 106323.