Least Common Multiple of 405/748, 3494/4075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/748, 3494/4075 quickly i.e. 1415070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/748, 3494/4075 is 1415070.

LCM(405/748, 3494/4075) = 1415070

LCM of 405/748, 3494/4075

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 405/748,3494/4075

Given numbers are 405/748,3494/4075

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 405,3494

Least Common Multiple of Numerators i.e. LCM of 405,3494 is 1415070.

GCF of Denominators means GCF of 748,4075 as per the given fractions.

GCF of 748,4075 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,3494

LCM of Fractions 405/748,3494/4075 is 1415070

Given numbers has no common factors except 1. So, there LCM is their product i.e 1415070

Least Common Multiple of 405,3494 with GCF Formula

Least Common Multiple of 405,3494 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 405,3494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,3494) = 1

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

GCF(405,3494) x common factors =1 x 1 = 1

LCM(405,3494) = ( 405 × 3494 ) / 1

LCM(405,3494) = 1415070 / 1

LCM(405,3494) = 1415070


Lets's calculate GCF of 748,4075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1415070/1

Therefore the LCM of Fractions 405/748,3494/4075 is 1415070

Greatest Common Factor of 748,4075 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,4075 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1,5,25,163,815,4075

Greatest Common Factor

We found the factors 748,4075 . The biggest common factor number is the GCF number.
So the greatest common factor 748,4075 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 405/748, 3494/4075

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 405/748, 3494/4075?

Answer: LCM of Numerators as per given numbers 405/748, 3494/4075 is

LCM of Numerators i.e. for 405,3494 is 1415070

GCF of denominators i.e. for 748,4075 is 1.

Thus, LCM of Fractions is 1415070.Finally, LCM of Fractions for 405/748, 3494/4075 is 1415070.