Least Common Multiple of 42/87, 92/60, 898/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/87, 92/60, 898/464 quickly i.e. 867468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/87, 92/60, 898/464 is 867468.

LCM(42/87, 92/60, 898/464) = 867468

LCM of 42/87, 92/60, 898/464

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 42/87,92/60,898/464

Given numbers are 42/87,92/60,898/464

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 42,92,898

Least Common Multiple of Numerators i.e. LCM of 42,92,898 is 867468.

GCF of Denominators means GCF of 87,60,464 as per the given fractions.

GCF of 87,60,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,92,898

LCM of Fractions 42/87,92/60,898/464 is 867468

2 42, 92, 898
21, 46, 449

∴ So the LCM of the given numbers is 2 x 21 x 46 x 449 = 867468

Least Common Multiple of 42,92,898 with GCF Formula

Least Common Multiple of 42,92,898 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 42,92,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,92,898) = 2

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

GCF(42,92,898) x common factors =2 x 2 = 4

LCM(42,92,898) = ( 42 × 92 × 898 ) / 4

LCM(42,92,898) = 3469872 / 4

LCM(42,92,898) = 867468


Lets's calculate GCF of 87,60,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 867468/1

Therefore the LCM of Fractions 42/87,92/60,898/464 is 867468

Greatest Common Factor of 87,60,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,60,464 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 87,60,464 . The biggest common factor number is the GCF number.
So the greatest common factor 87,60,464 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 42/87, 92/60, 898/464

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 42/87, 92/60, 898/464?

Answer: LCM of Numerators as per given numbers 42/87, 92/60, 898/464 is

LCM of Numerators i.e. for 42,92,898 is 867468

GCF of denominators i.e. for 87,60,464 is 1.

Thus, LCM of Fractions is 867468.Finally, LCM of Fractions for 42/87, 92/60, 898/464 is 867468.