Least Common Multiple of 896/59, 622/4992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/59, 622/4992 quickly i.e. 278656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/59, 622/4992 is 278656.

LCM(896/59, 622/4992) = 278656

LCM of 896/59, 622/4992

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 896/59,622/4992

Given numbers are 896/59,622/4992

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 896,622

Least Common Multiple of Numerators i.e. LCM of 896,622 is 278656.

GCF of Denominators means GCF of 59,4992 as per the given fractions.

GCF of 59,4992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,622

LCM of Fractions 896/59,622/4992 is 278656

2 896, 622
448, 311

∴ So the LCM of the given numbers is 2 x 448 x 311 = 278656

Least Common Multiple of 896,622 with GCF Formula

Least Common Multiple of 896,622 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 896,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,622) = 2

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

GCF(896,622) x common factors =2 x 1 = 2

LCM(896,622) = ( 896 × 622 ) / 2

LCM(896,622) = 557312 / 2

LCM(896,622) = 278656


Lets's calculate GCF of 59,4992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278656/1

Therefore the LCM of Fractions 896/59,622/4992 is 278656

Greatest Common Factor of 59,4992 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,4992 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Greatest Common Factor

We found the factors 59,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 59,4992 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 896/59, 622/4992

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 896/59, 622/4992?

Answer: LCM of Numerators as per given numbers 896/59, 622/4992 is

LCM of Numerators i.e. for 896,622 is 278656

GCF of denominators i.e. for 59,4992 is 1.

Thus, LCM of Fractions is 278656.Finally, LCM of Fractions for 896/59, 622/4992 is 278656.