Least Common Multiple of 92/145, 904/878, 685/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/145, 904/878, 685/610 quickly i.e. 14242520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/145, 904/878, 685/610 is 14242520.

LCM(92/145, 904/878, 685/610) = 14242520

LCM of 92/145, 904/878, 685/610

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 92/145,904/878,685/610

Given numbers are 92/145,904/878,685/610

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 92,904,685

Least Common Multiple of Numerators i.e. LCM of 92,904,685 is 14242520.

GCF of Denominators means GCF of 145,878,610 as per the given fractions.

GCF of 145,878,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,904,685

LCM of Fractions 92/145,904/878,685/610 is 14242520

2 92, 904, 685
2 46, 452, 685
23, 226, 685

∴ So the LCM of the given numbers is 2 x 2 x 23 x 226 x 685 = 14242520

Least Common Multiple of 92,904,685 with GCF Formula

Least Common Multiple of 92,904,685 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 92,904,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,904,685) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,904,685) x common factors =1 x 4 = 4

LCM(92,904,685) = ( 92 × 904 × 685 ) / 4

LCM(92,904,685) = 56970080 / 4

LCM(92,904,685) = 14242520


Lets's calculate GCF of 145,878,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14242520/1

Therefore the LCM of Fractions 92/145,904/878,685/610 is 14242520

Greatest Common Factor of 145,878,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,878,610 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 145,878,610 . The biggest common factor number is the GCF number.
So the greatest common factor 145,878,610 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 92/145, 904/878, 685/610

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 92/145, 904/878, 685/610?

Answer: LCM of Numerators as per given numbers 92/145, 904/878, 685/610 is

LCM of Numerators i.e. for 92,904,685 is 14242520

GCF of denominators i.e. for 145,878,610 is 1.

Thus, LCM of Fractions is 14242520.Finally, LCM of Fractions for 92/145, 904/878, 685/610 is 14242520.