Least Common Multiple of 4508/755, 1662/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4508/755, 1662/700 quickly i.e. 3746148/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4508/755, 1662/700 is 3746148/5.

LCM(4508/755, 1662/700) = 3746148/5

LCM of 4508/755, 1662/700

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 4508/755,1662/700

Given numbers are 4508/755,1662/700

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 4508,1662

Least Common Multiple of Numerators i.e. LCM of 4508,1662 is 3746148.

GCF of Denominators means GCF of 755,700 as per the given fractions.

GCF of 755,700 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4508,1662

LCM of Fractions 4508/755,1662/700 is 3746148/5

2 4508, 1662
2254, 831

∴ So the LCM of the given numbers is 2 x 2254 x 831 = 3746148

Least Common Multiple of 4508,1662 with GCF Formula

Least Common Multiple of 4508,1662 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 4508,1662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4508,1662) = 2

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

GCF(4508,1662) x common factors =2 x 1 = 2

LCM(4508,1662) = ( 4508 × 1662 ) / 2

LCM(4508,1662) = 7492296 / 2

LCM(4508,1662) = 3746148


Lets's calculate GCF of 755,700

5 755, 700
151, 140

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3746148/5

Therefore the LCM of Fractions 4508/755,1662/700 is 3746148/5

Greatest Common Factor of 755,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,700 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 755,700 . The biggest common factor number is the GCF number.
So the greatest common factor 755,700 is 5.


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 4508/755, 1662/700

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 4508/755, 1662/700?

Answer: LCM of Numerators as per given numbers 4508/755, 1662/700 is

LCM of Numerators i.e. for 4508,1662 is 3746148

GCF of denominators i.e. for 755,700 is 5.

Thus, LCM of Fractions is 3746148/5.Finally, LCM of Fractions for 4508/755, 1662/700 is 3746148/5.