Least Common Multiple of 37/686, 61/403, 896/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/686, 61/403, 896/414 quickly i.e. 2022272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/686, 61/403, 896/414 is 2022272.

LCM(37/686, 61/403, 896/414) = 2022272

LCM of 37/686, 61/403, 896/414

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 37/686,61/403,896/414

Given numbers are 37/686,61/403,896/414

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 37,61,896

Least Common Multiple of Numerators i.e. LCM of 37,61,896 is 2022272.

GCF of Denominators means GCF of 686,403,414 as per the given fractions.

GCF of 686,403,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,61,896

LCM of Fractions 37/686,61/403,896/414 is 2022272

Given numbers has no common factors except 1. So, there LCM is their product i.e 2022272

Least Common Multiple of 37,61,896 with GCF Formula

Least Common Multiple of 37,61,896 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 37,61,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,61,896) = 1

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

GCF(37,61,896) x common factors =1 x 1 = 1

LCM(37,61,896) = ( 37 × 61 × 896 ) / 1

LCM(37,61,896) = 2022272 / 1

LCM(37,61,896) = 2022272


Lets's calculate GCF of 686,403,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2022272/1

Therefore the LCM of Fractions 37/686,61/403,896/414 is 2022272

Greatest Common Factor of 686,403,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,403,414 By Matching Biggest Common Factor Method

Factors of 686

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

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

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 686,403,414 . The biggest common factor number is the GCF number.
So the greatest common factor 686,403,414 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 37/686, 61/403, 896/414

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 37/686, 61/403, 896/414?

Answer: LCM of Numerators as per given numbers 37/686, 61/403, 896/414 is

LCM of Numerators i.e. for 37,61,896 is 2022272

GCF of denominators i.e. for 686,403,414 is 1.

Thus, LCM of Fractions is 2022272.Finally, LCM of Fractions for 37/686, 61/403, 896/414 is 2022272.