Least Common Multiple of 686/29, 150/3614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/29, 150/3614 quickly i.e. 51450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/29, 150/3614 is 51450.

LCM(686/29, 150/3614) = 51450

LCM of 686/29, 150/3614

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 686/29,150/3614

Given numbers are 686/29,150/3614

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 686,150

Least Common Multiple of Numerators i.e. LCM of 686,150 is 51450.

GCF of Denominators means GCF of 29,3614 as per the given fractions.

GCF of 29,3614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,150

LCM of Fractions 686/29,150/3614 is 51450

2 686, 150
343, 75

∴ So the LCM of the given numbers is 2 x 343 x 75 = 51450

Least Common Multiple of 686,150 with GCF Formula

Least Common Multiple of 686,150 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 686,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,150) = 2

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

GCF(686,150) x common factors =2 x 1 = 2

LCM(686,150) = ( 686 × 150 ) / 2

LCM(686,150) = 102900 / 2

LCM(686,150) = 51450


Lets's calculate GCF of 29,3614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51450/1

Therefore the LCM of Fractions 686/29,150/3614 is 51450

Greatest Common Factor of 29,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,3614 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 29,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 29,3614 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 686/29, 150/3614

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 686/29, 150/3614?

Answer: LCM of Numerators as per given numbers 686/29, 150/3614 is

LCM of Numerators i.e. for 686,150 is 51450

GCF of denominators i.e. for 29,3614 is 1.

Thus, LCM of Fractions is 51450.Finally, LCM of Fractions for 686/29, 150/3614 is 51450.