Least Common Multiple of 37/501, 85/127, 646/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/501, 85/127, 646/686 quickly i.e. 119510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/501, 85/127, 646/686 is 119510.

LCM(37/501, 85/127, 646/686) = 119510

LCM of 37/501, 85/127, 646/686

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 37/501,85/127,646/686

Given numbers are 37/501,85/127,646/686

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 37,85,646

Least Common Multiple of Numerators i.e. LCM of 37,85,646 is 119510.

GCF of Denominators means GCF of 501,127,686 as per the given fractions.

GCF of 501,127,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,85,646

LCM of Fractions 37/501,85/127,646/686 is 119510

17 37, 85, 646
37, 5, 38

∴ So the LCM of the given numbers is 17 x 37 x 5 x 38 = 119510

Least Common Multiple of 37,85,646 with GCF Formula

Least Common Multiple of 37,85,646 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 37,85,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,85,646) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(37,85,646) x common factors =1 x 17 = 17

LCM(37,85,646) = ( 37 × 85 × 646 ) / 17

LCM(37,85,646) = 2031670 / 17

LCM(37,85,646) = 119510


Lets's calculate GCF of 501,127,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119510/1

Therefore the LCM of Fractions 37/501,85/127,646/686 is 119510

Greatest Common Factor of 501,127,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,127,686 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 501,127,686 . The biggest common factor number is the GCF number.
So the greatest common factor 501,127,686 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 37/501, 85/127, 646/686

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 37/501, 85/127, 646/686?

Answer: LCM of Numerators as per given numbers 37/501, 85/127, 646/686 is

LCM of Numerators i.e. for 37,85,646 is 119510

GCF of denominators i.e. for 501,127,686 is 1.

Thus, LCM of Fractions is 119510.Finally, LCM of Fractions for 37/501, 85/127, 646/686 is 119510.