Least Common Multiple of 1770/745, 8028/4501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1770/745, 8028/4501 quickly i.e. 2368260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1770/745, 8028/4501 is 2368260.

LCM(1770/745, 8028/4501) = 2368260

LCM of 1770/745, 8028/4501

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 1770/745,8028/4501

Given numbers are 1770/745,8028/4501

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 1770,8028

Least Common Multiple of Numerators i.e. LCM of 1770,8028 is 2368260.

GCF of Denominators means GCF of 745,4501 as per the given fractions.

GCF of 745,4501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1770,8028

LCM of Fractions 1770/745,8028/4501 is 2368260

2 1770, 8028
3 885, 4014
295, 1338

∴ So the LCM of the given numbers is 2 x 3 x 295 x 1338 = 2368260

Least Common Multiple of 1770,8028 with GCF Formula

Least Common Multiple of 1770,8028 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 1770,8028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1770,8028) = 6

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

GCF(1770,8028) x common factors =6 x 1 = 6

LCM(1770,8028) = ( 1770 × 8028 ) / 6

LCM(1770,8028) = 14209560 / 6

LCM(1770,8028) = 2368260


Lets's calculate GCF of 745,4501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2368260/1

Therefore the LCM of Fractions 1770/745,8028/4501 is 2368260

Greatest Common Factor of 745,4501 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,4501 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 4501

List of positive integer factors of 4501 that divides 4501 without a remainder.

1,7,643,4501

Greatest Common Factor

We found the factors 745,4501 . The biggest common factor number is the GCF number.
So the greatest common factor 745,4501 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1770/745, 8028/4501

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 1770/745, 8028/4501?

Answer: LCM of Numerators as per given numbers 1770/745, 8028/4501 is

LCM of Numerators i.e. for 1770,8028 is 2368260

GCF of denominators i.e. for 745,4501 is 1.

Thus, LCM of Fractions is 2368260.Finally, LCM of Fractions for 1770/745, 8028/4501 is 2368260.