Least Common Multiple of 7410/893, 3495/7834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7410/893, 3495/7834 quickly i.e. 1726530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7410/893, 3495/7834 is 1726530.

LCM(7410/893, 3495/7834) = 1726530

LCM of 7410/893, 3495/7834

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 7410/893,3495/7834

Given numbers are 7410/893,3495/7834

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 7410,3495

Least Common Multiple of Numerators i.e. LCM of 7410,3495 is 1726530.

GCF of Denominators means GCF of 893,7834 as per the given fractions.

GCF of 893,7834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7410,3495

LCM of Fractions 7410/893,3495/7834 is 1726530

3 7410, 3495
5 2470, 1165
494, 233

∴ So the LCM of the given numbers is 3 x 5 x 494 x 233 = 1726530

Least Common Multiple of 7410,3495 with GCF Formula

Least Common Multiple of 7410,3495 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 7410,3495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7410,3495) = 15

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

GCF(7410,3495) x common factors =15 x 1 = 15

LCM(7410,3495) = ( 7410 × 3495 ) / 15

LCM(7410,3495) = 25897950 / 15

LCM(7410,3495) = 1726530


Lets's calculate GCF of 893,7834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1726530/1

Therefore the LCM of Fractions 7410/893,3495/7834 is 1726530

Greatest Common Factor of 893,7834 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,7834 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1,2,3917,7834

Greatest Common Factor

We found the factors 893,7834 . The biggest common factor number is the GCF number.
So the greatest common factor 893,7834 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 7410/893, 3495/7834

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 7410/893, 3495/7834?

Answer: LCM of Numerators as per given numbers 7410/893, 3495/7834 is

LCM of Numerators i.e. for 7410,3495 is 1726530

GCF of denominators i.e. for 893,7834 is 1.

Thus, LCM of Fractions is 1726530.Finally, LCM of Fractions for 7410/893, 3495/7834 is 1726530.