Least Common Multiple of 1028/734, 5448/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1028/734, 5448/162 quickly i.e. 700068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1028/734, 5448/162 is 700068.

LCM(1028/734, 5448/162) = 700068

LCM of 1028/734, 5448/162

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 1028/734,5448/162

Given numbers are 1028/734,5448/162

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 1028,5448

Least Common Multiple of Numerators i.e. LCM of 1028,5448 is 1400136.

GCF of Denominators means GCF of 734,162 as per the given fractions.

GCF of 734,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1028,5448

LCM of Fractions 1028/734,5448/162 is 700068

2 1028, 5448
2 514, 2724
257, 1362

∴ So the LCM of the given numbers is 2 x 2 x 257 x 1362 = 1400136

Least Common Multiple of 1028,5448 with GCF Formula

Least Common Multiple of 1028,5448 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 1028,5448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1028,5448) = 4

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

GCF(1028,5448) x common factors =4 x 1 = 4

LCM(1028,5448) = ( 1028 × 5448 ) / 4

LCM(1028,5448) = 5600544 / 4

LCM(1028,5448) = 1400136


Lets's calculate GCF of 734,162

2 734, 162
367, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1400136/2

Therefore the LCM of Fractions 1028/734,5448/162 is 700068

Greatest Common Factor of 734,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,162 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 734,162 . The biggest common factor number is the GCF number.
So the greatest common factor 734,162 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 1028/734, 5448/162

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 1028/734, 5448/162?

Answer: LCM of Numerators as per given numbers 1028/734, 5448/162 is

LCM of Numerators i.e. for 1028,5448 is 1400136

GCF of denominators i.e. for 734,162 is 2.

Thus, LCM of Fractions is 700068.Finally, LCM of Fractions for 1028/734, 5448/162 is 700068.