Least Common Multiple of 92/385, 98/628, 905/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/385, 98/628, 905/979 quickly i.e. 4079740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/385, 98/628, 905/979 is 4079740.

LCM(92/385, 98/628, 905/979) = 4079740

LCM of 92/385, 98/628, 905/979

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 92/385,98/628,905/979

Given numbers are 92/385,98/628,905/979

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 92,98,905

Least Common Multiple of Numerators i.e. LCM of 92,98,905 is 4079740.

GCF of Denominators means GCF of 385,628,979 as per the given fractions.

GCF of 385,628,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,98,905

LCM of Fractions 92/385,98/628,905/979 is 4079740

2 92, 98, 905
46, 49, 905

∴ So the LCM of the given numbers is 2 x 46 x 49 x 905 = 4079740

Least Common Multiple of 92,98,905 with GCF Formula

Least Common Multiple of 92,98,905 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 92,98,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,98,905) = 1

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

GCF(92,98,905) x common factors =1 x 2 = 2

LCM(92,98,905) = ( 92 × 98 × 905 ) / 2

LCM(92,98,905) = 8159480 / 2

LCM(92,98,905) = 4079740


Lets's calculate GCF of 385,628,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4079740/1

Therefore the LCM of Fractions 92/385,98/628,905/979 is 4079740

Greatest Common Factor of 385,628,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,628,979 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 385,628,979 . The biggest common factor number is the GCF number.
So the greatest common factor 385,628,979 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 92/385, 98/628, 905/979

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 92/385, 98/628, 905/979?

Answer: LCM of Numerators as per given numbers 92/385, 98/628, 905/979 is

LCM of Numerators i.e. for 92,98,905 is 4079740

GCF of denominators i.e. for 385,628,979 is 1.

Thus, LCM of Fractions is 4079740.Finally, LCM of Fractions for 92/385, 98/628, 905/979 is 4079740.