Least Common Multiple of 851/403, 137/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 851/403, 137/682 quickly i.e. 116587/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 851/403, 137/682 is 116587/31.

LCM(851/403, 137/682) = 116587/31

LCM of 851/403, 137/682

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 851/403,137/682

Given numbers are 851/403,137/682

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 851,137

Least Common Multiple of Numerators i.e. LCM of 851,137 is 116587.

GCF of Denominators means GCF of 403,682 as per the given fractions.

GCF of 403,682 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 851,137

LCM of Fractions 851/403,137/682 is 116587/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 116587

Least Common Multiple of 851,137 with GCF Formula

Least Common Multiple of 851,137 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 851,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,137) = 1

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

GCF(851,137) x common factors =1 x 1 = 1

LCM(851,137) = ( 851 × 137 ) / 1

LCM(851,137) = 116587 / 1

LCM(851,137) = 116587


Lets's calculate GCF of 403,682

31 403, 682
13, 22

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116587/31

Therefore the LCM of Fractions 851/403,137/682 is 116587/31

Greatest Common Factor of 403,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,682 By Matching Biggest Common Factor Method

Factors of 403

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

1,13,31,403

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 403,682 . The biggest common factor number is the GCF number.
So the greatest common factor 403,682 is 31.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 851/403, 137/682

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 851/403, 137/682?

Answer: LCM of Numerators as per given numbers 851/403, 137/682 is

LCM of Numerators i.e. for 851,137 is 116587

GCF of denominators i.e. for 403,682 is 31.

Thus, LCM of Fractions is 116587/31.Finally, LCM of Fractions for 851/403, 137/682 is 116587/31.