Least Common Multiple of 686/42, 707/3856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/42, 707/3856 quickly i.e. 34643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/42, 707/3856 is 34643.

LCM(686/42, 707/3856) = 34643

LCM of 686/42, 707/3856

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 686/42,707/3856

Given numbers are 686/42,707/3856

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 686,707

Least Common Multiple of Numerators i.e. LCM of 686,707 is 69286.

GCF of Denominators means GCF of 42,3856 as per the given fractions.

GCF of 42,3856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,707

LCM of Fractions 686/42,707/3856 is 34643

7 686, 707
98, 101

∴ So the LCM of the given numbers is 7 x 98 x 101 = 69286

Least Common Multiple of 686,707 with GCF Formula

Least Common Multiple of 686,707 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 686,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,707) = 7

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

GCF(686,707) x common factors =7 x 1 = 7

LCM(686,707) = ( 686 × 707 ) / 7

LCM(686,707) = 485002 / 7

LCM(686,707) = 69286


Lets's calculate GCF of 42,3856

2 42, 3856
21, 1928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69286/2

Therefore the LCM of Fractions 686/42,707/3856 is 34643

Greatest Common Factor of 42,3856 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3856 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3856

List of positive integer factors of 3856 that divides 3856 without a remainder.

1,2,4,8,16,241,482,964,1928,3856

Greatest Common Factor

We found the factors 42,3856 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3856 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 686/42, 707/3856

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 686/42, 707/3856?

Answer: LCM of Numerators as per given numbers 686/42, 707/3856 is

LCM of Numerators i.e. for 686,707 is 69286

GCF of denominators i.e. for 42,3856 is 2.

Thus, LCM of Fractions is 34643.Finally, LCM of Fractions for 686/42, 707/3856 is 34643.