Least Common Multiple of 861/47, 881/86, 188/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 861/47, 881/86, 188/753 quickly i.e. 142605708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/47, 881/86, 188/753 is 142605708.

LCM(861/47, 881/86, 188/753) = 142605708

LCM of 861/47, 881/86, 188/753

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 861/47,881/86,188/753

Given numbers are 861/47,881/86,188/753

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 861,881,188

Least Common Multiple of Numerators i.e. LCM of 861,881,188 is 142605708.

GCF of Denominators means GCF of 47,86,753 as per the given fractions.

GCF of 47,86,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,881,188

LCM of Fractions 861/47,881/86,188/753 is 142605708

Given numbers has no common factors except 1. So, there LCM is their product i.e 142605708

Least Common Multiple of 861,881,188 with GCF Formula

Least Common Multiple of 861,881,188 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 861,881,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,881,188) = 1

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

GCF(861,881,188) x common factors =1 x 1 = 1

LCM(861,881,188) = ( 861 × 881 × 188 ) / 1

LCM(861,881,188) = 142605708 / 1

LCM(861,881,188) = 142605708


Lets's calculate GCF of 47,86,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142605708/1

Therefore the LCM of Fractions 861/47,881/86,188/753 is 142605708

Greatest Common Factor of 47,86,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,86,753 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 47,86,753 . The biggest common factor number is the GCF number.
So the greatest common factor 47,86,753 is 1.


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 861/47, 881/86, 188/753

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 861/47, 881/86, 188/753?

Answer: LCM of Numerators as per given numbers 861/47, 881/86, 188/753 is

LCM of Numerators i.e. for 861,881,188 is 142605708

GCF of denominators i.e. for 47,86,753 is 1.

Thus, LCM of Fractions is 142605708.Finally, LCM of Fractions for 861/47, 881/86, 188/753 is 142605708.