Least Common Multiple of 237/762, 1785/2006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 237/762, 1785/2006 quickly i.e. 141015/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/762, 1785/2006 is 141015/2.

LCM(237/762, 1785/2006) = 141015/2

LCM of 237/762, 1785/2006

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 237/762,1785/2006

Given numbers are 237/762,1785/2006

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 237,1785

Least Common Multiple of Numerators i.e. LCM of 237,1785 is 141015.

GCF of Denominators means GCF of 762,2006 as per the given fractions.

GCF of 762,2006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,1785

LCM of Fractions 237/762,1785/2006 is 141015/2

3 237, 1785
79, 595

∴ So the LCM of the given numbers is 3 x 79 x 595 = 141015

Least Common Multiple of 237,1785 with GCF Formula

Least Common Multiple of 237,1785 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 237,1785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,1785) = 3

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

GCF(237,1785) x common factors =3 x 1 = 3

LCM(237,1785) = ( 237 × 1785 ) / 3

LCM(237,1785) = 423045 / 3

LCM(237,1785) = 141015


Lets's calculate GCF of 762,2006

2 762, 2006
381, 1003

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141015/2

Therefore the LCM of Fractions 237/762,1785/2006 is 141015/2

Greatest Common Factor of 762,2006 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,2006 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 2006

List of positive integer factors of 2006 that divides 2006 without a remainder.

1,2,17,34,59,118,1003,2006

Greatest Common Factor

We found the factors 762,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 762,2006 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 237/762, 1785/2006

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 237/762, 1785/2006?

Answer: LCM of Numerators as per given numbers 237/762, 1785/2006 is

LCM of Numerators i.e. for 237,1785 is 141015

GCF of denominators i.e. for 762,2006 is 2.

Thus, LCM of Fractions is 141015/2.Finally, LCM of Fractions for 237/762, 1785/2006 is 141015/2.