Least Common Multiple of 185/786, 8671/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/786, 8671/748 quickly i.e. 1604135/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/786, 8671/748 is 1604135/2.

LCM(185/786, 8671/748) = 1604135/2

LCM of 185/786, 8671/748

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 185/786,8671/748

Given numbers are 185/786,8671/748

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 185,8671

Least Common Multiple of Numerators i.e. LCM of 185,8671 is 1604135.

GCF of Denominators means GCF of 786,748 as per the given fractions.

GCF of 786,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,8671

LCM of Fractions 185/786,8671/748 is 1604135/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1604135

Least Common Multiple of 185,8671 with GCF Formula

Least Common Multiple of 185,8671 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 185,8671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,8671) = 1

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

GCF(185,8671) x common factors =1 x 1 = 1

LCM(185,8671) = ( 185 × 8671 ) / 1

LCM(185,8671) = 1604135 / 1

LCM(185,8671) = 1604135


Lets's calculate GCF of 786,748

2 786, 748
393, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1604135/2

Therefore the LCM of Fractions 185/786,8671/748 is 1604135/2

Greatest Common Factor of 786,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,748 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 786,748 . The biggest common factor number is the GCF number.
So the greatest common factor 786,748 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 185/786, 8671/748

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 185/786, 8671/748?

Answer: LCM of Numerators as per given numbers 185/786, 8671/748 is

LCM of Numerators i.e. for 185,8671 is 1604135

GCF of denominators i.e. for 786,748 is 2.

Thus, LCM of Fractions is 1604135/2.Finally, LCM of Fractions for 185/786, 8671/748 is 1604135/2.