Least Common Multiple of 92/60, 25/52, 862/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/60, 25/52, 862/390 quickly i.e. 495650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/60, 25/52, 862/390 is 495650.

LCM(92/60, 25/52, 862/390) = 495650

LCM of 92/60, 25/52, 862/390

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 92/60,25/52,862/390

Given numbers are 92/60,25/52,862/390

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 92,25,862

Least Common Multiple of Numerators i.e. LCM of 92,25,862 is 991300.

GCF of Denominators means GCF of 60,52,390 as per the given fractions.

GCF of 60,52,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,25,862

LCM of Fractions 92/60,25/52,862/390 is 495650

2 92, 25, 862
46, 25, 431

∴ So the LCM of the given numbers is 2 x 46 x 25 x 431 = 991300

Least Common Multiple of 92,25,862 with GCF Formula

Least Common Multiple of 92,25,862 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 92,25,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,25,862) = 1

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

GCF(92,25,862) x common factors =1 x 2 = 2

LCM(92,25,862) = ( 92 × 25 × 862 ) / 2

LCM(92,25,862) = 1982600 / 2

LCM(92,25,862) = 991300


Lets's calculate GCF of 60,52,390

2 60, 52, 390
30, 26, 195

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991300/2

Therefore the LCM of Fractions 92/60,25/52,862/390 is 495650

Greatest Common Factor of 60,52,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,52,390 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 60,52,390 . The biggest common factor number is the GCF number.
So the greatest common factor 60,52,390 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/60, 25/52, 862/390

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 92/60, 25/52, 862/390?

Answer: LCM of Numerators as per given numbers 92/60, 25/52, 862/390 is

LCM of Numerators i.e. for 92,25,862 is 991300

GCF of denominators i.e. for 60,52,390 is 2.

Thus, LCM of Fractions is 495650.Finally, LCM of Fractions for 92/60, 25/52, 862/390 is 495650.