Least Common Multiple of 3754/505, 9270/7621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3754/505, 9270/7621 quickly i.e. 17399790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3754/505, 9270/7621 is 17399790.

LCM(3754/505, 9270/7621) = 17399790

LCM of 3754/505, 9270/7621

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 3754/505,9270/7621

Given numbers are 3754/505,9270/7621

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 3754,9270

Least Common Multiple of Numerators i.e. LCM of 3754,9270 is 17399790.

GCF of Denominators means GCF of 505,7621 as per the given fractions.

GCF of 505,7621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3754,9270

LCM of Fractions 3754/505,9270/7621 is 17399790

2 3754, 9270
1877, 4635

∴ So the LCM of the given numbers is 2 x 1877 x 4635 = 17399790

Least Common Multiple of 3754,9270 with GCF Formula

Least Common Multiple of 3754,9270 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 3754,9270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3754,9270) = 2

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

GCF(3754,9270) x common factors =2 x 1 = 2

LCM(3754,9270) = ( 3754 × 9270 ) / 2

LCM(3754,9270) = 34799580 / 2

LCM(3754,9270) = 17399790


Lets's calculate GCF of 505,7621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17399790/1

Therefore the LCM of Fractions 3754/505,9270/7621 is 17399790

Greatest Common Factor of 505,7621 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,7621 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1,7621

Greatest Common Factor

We found the factors 505,7621 . The biggest common factor number is the GCF number.
So the greatest common factor 505,7621 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 3754/505, 9270/7621

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 3754/505, 9270/7621?

Answer: LCM of Numerators as per given numbers 3754/505, 9270/7621 is

LCM of Numerators i.e. for 3754,9270 is 17399790

GCF of denominators i.e. for 505,7621 is 1.

Thus, LCM of Fractions is 17399790.Finally, LCM of Fractions for 3754/505, 9270/7621 is 17399790.