Least Common Multiple of 3744/456, 5410/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3744/456, 5410/662 quickly i.e. 5063760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3744/456, 5410/662 is 5063760.

LCM(3744/456, 5410/662) = 5063760

LCM of 3744/456, 5410/662

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 3744/456,5410/662

Given numbers are 3744/456,5410/662

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 3744,5410

Least Common Multiple of Numerators i.e. LCM of 3744,5410 is 10127520.

GCF of Denominators means GCF of 456,662 as per the given fractions.

GCF of 456,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3744,5410

LCM of Fractions 3744/456,5410/662 is 5063760

2 3744, 5410
1872, 2705

∴ So the LCM of the given numbers is 2 x 1872 x 2705 = 10127520

Least Common Multiple of 3744,5410 with GCF Formula

Least Common Multiple of 3744,5410 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 3744,5410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3744,5410) = 2

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

GCF(3744,5410) x common factors =2 x 1 = 2

LCM(3744,5410) = ( 3744 × 5410 ) / 2

LCM(3744,5410) = 20255040 / 2

LCM(3744,5410) = 10127520


Lets's calculate GCF of 456,662

2 456, 662
228, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10127520/2

Therefore the LCM of Fractions 3744/456,5410/662 is 5063760

Greatest Common Factor of 456,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,662 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 456,662 . The biggest common factor number is the GCF number.
So the greatest common factor 456,662 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 3744/456, 5410/662

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 3744/456, 5410/662?

Answer: LCM of Numerators as per given numbers 3744/456, 5410/662 is

LCM of Numerators i.e. for 3744,5410 is 10127520

GCF of denominators i.e. for 456,662 is 2.

Thus, LCM of Fractions is 5063760.Finally, LCM of Fractions for 3744/456, 5410/662 is 5063760.