Least Common Multiple of 86/858, 232/411, 789/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/858, 232/411, 789/762 quickly i.e. 2623688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/858, 232/411, 789/762 is 2623688.

LCM(86/858, 232/411, 789/762) = 2623688

LCM of 86/858, 232/411, 789/762

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 86/858,232/411,789/762

Given numbers are 86/858,232/411,789/762

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 86,232,789

Least Common Multiple of Numerators i.e. LCM of 86,232,789 is 7871064.

GCF of Denominators means GCF of 858,411,762 as per the given fractions.

GCF of 858,411,762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,232,789

LCM of Fractions 86/858,232/411,789/762 is 2623688

2 86, 232, 789
43, 116, 789

∴ So the LCM of the given numbers is 2 x 43 x 116 x 789 = 7871064

Least Common Multiple of 86,232,789 with GCF Formula

Least Common Multiple of 86,232,789 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 86,232,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,232,789) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,232,789) x common factors =1 x 2 = 2

LCM(86,232,789) = ( 86 × 232 × 789 ) / 2

LCM(86,232,789) = 15742128 / 2

LCM(86,232,789) = 7871064


Lets's calculate GCF of 858,411,762

3 858, 411, 762
286, 137, 254

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7871064/3

Therefore the LCM of Fractions 86/858,232/411,789/762 is 2623688

Greatest Common Factor of 858,411,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,411,762 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 858,411,762 . The biggest common factor number is the GCF number.
So the greatest common factor 858,411,762 is 3.


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 86/858, 232/411, 789/762

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 86/858, 232/411, 789/762?

Answer: LCM of Numerators as per given numbers 86/858, 232/411, 789/762 is

LCM of Numerators i.e. for 86,232,789 is 7871064

GCF of denominators i.e. for 858,411,762 is 3.

Thus, LCM of Fractions is 2623688.Finally, LCM of Fractions for 86/858, 232/411, 789/762 is 2623688.