Least Common Multiple of 75/210, 3735/8008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/210, 3735/8008 quickly i.e. 18675/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/210, 3735/8008 is 18675/14.

LCM(75/210, 3735/8008) = 18675/14

LCM of 75/210, 3735/8008

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 75/210,3735/8008

Given numbers are 75/210,3735/8008

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 75,3735

Least Common Multiple of Numerators i.e. LCM of 75,3735 is 18675.

GCF of Denominators means GCF of 210,8008 as per the given fractions.

GCF of 210,8008 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,3735

LCM of Fractions 75/210,3735/8008 is 18675/14

3 75, 3735
5 25, 1245
5, 249

∴ So the LCM of the given numbers is 3 x 5 x 5 x 249 = 18675

Least Common Multiple of 75,3735 with GCF Formula

Least Common Multiple of 75,3735 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 75,3735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,3735) = 15

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

GCF(75,3735) x common factors =15 x 1 = 15

LCM(75,3735) = ( 75 × 3735 ) / 15

LCM(75,3735) = 280125 / 15

LCM(75,3735) = 18675


Lets's calculate GCF of 210,8008

2 210, 8008
7 105, 4004
15, 572

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18675/14

Therefore the LCM of Fractions 75/210,3735/8008 is 18675/14

Greatest Common Factor of 210,8008 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,8008 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Greatest Common Factor

We found the factors 210,8008 . The biggest common factor number is the GCF number.
So the greatest common factor 210,8008 is 14.


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 75/210, 3735/8008

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 75/210, 3735/8008?

Answer: LCM of Numerators as per given numbers 75/210, 3735/8008 is

LCM of Numerators i.e. for 75,3735 is 18675

GCF of denominators i.e. for 210,8008 is 14.

Thus, LCM of Fractions is 18675/14.Finally, LCM of Fractions for 75/210, 3735/8008 is 18675/14.