Least Common Multiple of 786/42, 922/9871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/42, 922/9871 quickly i.e. 362346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/42, 922/9871 is 362346.

LCM(786/42, 922/9871) = 362346

LCM of 786/42, 922/9871

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 786/42,922/9871

Given numbers are 786/42,922/9871

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 786,922

Least Common Multiple of Numerators i.e. LCM of 786,922 is 362346.

GCF of Denominators means GCF of 42,9871 as per the given fractions.

GCF of 42,9871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,922

LCM of Fractions 786/42,922/9871 is 362346

2 786, 922
393, 461

∴ So the LCM of the given numbers is 2 x 393 x 461 = 362346

Least Common Multiple of 786,922 with GCF Formula

Least Common Multiple of 786,922 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 786,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,922) = 2

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

GCF(786,922) x common factors =2 x 1 = 2

LCM(786,922) = ( 786 × 922 ) / 2

LCM(786,922) = 724692 / 2

LCM(786,922) = 362346


Lets's calculate GCF of 42,9871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362346/1

Therefore the LCM of Fractions 786/42,922/9871 is 362346

Greatest Common Factor of 42,9871 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,9871 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 9871

List of positive integer factors of 9871 that divides 9871 without a remainder.

1,9871

Greatest Common Factor

We found the factors 42,9871 . The biggest common factor number is the GCF number.
So the greatest common factor 42,9871 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 786/42, 922/9871

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 786/42, 922/9871?

Answer: LCM of Numerators as per given numbers 786/42, 922/9871 is

LCM of Numerators i.e. for 786,922 is 362346

GCF of denominators i.e. for 42,9871 is 1.

Thus, LCM of Fractions is 362346.Finally, LCM of Fractions for 786/42, 922/9871 is 362346.