Least Common Multiple of 92/827, 67/839, 749/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/827, 67/839, 749/177 quickly i.e. 4616836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/827, 67/839, 749/177 is 4616836.

LCM(92/827, 67/839, 749/177) = 4616836

LCM of 92/827, 67/839, 749/177

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 92/827,67/839,749/177

Given numbers are 92/827,67/839,749/177

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 92,67,749

Least Common Multiple of Numerators i.e. LCM of 92,67,749 is 4616836.

GCF of Denominators means GCF of 827,839,177 as per the given fractions.

GCF of 827,839,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,67,749

LCM of Fractions 92/827,67/839,749/177 is 4616836

Given numbers has no common factors except 1. So, there LCM is their product i.e 4616836

Least Common Multiple of 92,67,749 with GCF Formula

Least Common Multiple of 92,67,749 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 92,67,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,67,749) = 1

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

GCF(92,67,749) x common factors =1 x 1 = 1

LCM(92,67,749) = ( 92 × 67 × 749 ) / 1

LCM(92,67,749) = 4616836 / 1

LCM(92,67,749) = 4616836


Lets's calculate GCF of 827,839,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4616836/1

Therefore the LCM of Fractions 92/827,67/839,749/177 is 4616836

Greatest Common Factor of 827,839,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,839,177 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 827,839,177 . The biggest common factor number is the GCF number.
So the greatest common factor 827,839,177 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 92/827, 67/839, 749/177

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 92/827, 67/839, 749/177?

Answer: LCM of Numerators as per given numbers 92/827, 67/839, 749/177 is

LCM of Numerators i.e. for 92,67,749 is 4616836

GCF of denominators i.e. for 827,839,177 is 1.

Thus, LCM of Fractions is 4616836.Finally, LCM of Fractions for 92/827, 67/839, 749/177 is 4616836.