Least Common Multiple of 926/35, 728/19, 896/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 926/35, 728/19, 896/112 quickly i.e. 5393024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/35, 728/19, 896/112 is 5393024.

LCM(926/35, 728/19, 896/112) = 5393024

LCM of 926/35, 728/19, 896/112

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 926/35,728/19,896/112

Given numbers are 926/35,728/19,896/112

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 926,728,896

Least Common Multiple of Numerators i.e. LCM of 926,728,896 is 5393024.

GCF of Denominators means GCF of 35,19,112 as per the given fractions.

GCF of 35,19,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,728,896

LCM of Fractions 926/35,728/19,896/112 is 5393024

2 926, 728, 896
2 463, 364, 448
2 463, 182, 224
7 463, 91, 112
463, 13, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 463 x 13 x 16 = 5393024

Least Common Multiple of 926,728,896 with GCF Formula

Least Common Multiple of 926,728,896 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 926,728,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,728,896) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(926,728,896) x common factors =2 x 56 = 112

LCM(926,728,896) = ( 926 × 728 × 896 ) / 112

LCM(926,728,896) = 604018688 / 112

LCM(926,728,896) = 5393024


Lets's calculate GCF of 35,19,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5393024/1

Therefore the LCM of Fractions 926/35,728/19,896/112 is 5393024

Greatest Common Factor of 35,19,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,19,112 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 35,19,112 . The biggest common factor number is the GCF number.
So the greatest common factor 35,19,112 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 926/35, 728/19, 896/112

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 926/35, 728/19, 896/112?

Answer: LCM of Numerators as per given numbers 926/35, 728/19, 896/112 is

LCM of Numerators i.e. for 926,728,896 is 5393024

GCF of denominators i.e. for 35,19,112 is 1.

Thus, LCM of Fractions is 5393024.Finally, LCM of Fractions for 926/35, 728/19, 896/112 is 5393024.