Least Common Multiple of 85/73, 298/42, 801/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/73, 298/42, 801/370 quickly i.e. 20289330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/73, 298/42, 801/370 is 20289330.

LCM(85/73, 298/42, 801/370) = 20289330

LCM of 85/73, 298/42, 801/370

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 85/73,298/42,801/370

Given numbers are 85/73,298/42,801/370

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 85,298,801

Least Common Multiple of Numerators i.e. LCM of 85,298,801 is 20289330.

GCF of Denominators means GCF of 73,42,370 as per the given fractions.

GCF of 73,42,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,298,801

LCM of Fractions 85/73,298/42,801/370 is 20289330

Given numbers has no common factors except 1. So, there LCM is their product i.e 20289330

Least Common Multiple of 85,298,801 with GCF Formula

Least Common Multiple of 85,298,801 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 85,298,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,298,801) = 1

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

GCF(85,298,801) x common factors =1 x 1 = 1

LCM(85,298,801) = ( 85 × 298 × 801 ) / 1

LCM(85,298,801) = 20289330 / 1

LCM(85,298,801) = 20289330


Lets's calculate GCF of 73,42,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20289330/1

Therefore the LCM of Fractions 85/73,298/42,801/370 is 20289330

Greatest Common Factor of 73,42,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,42,370 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 73,42,370 . The biggest common factor number is the GCF number.
So the greatest common factor 73,42,370 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/73, 298/42, 801/370

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 85/73, 298/42, 801/370?

Answer: LCM of Numerators as per given numbers 85/73, 298/42, 801/370 is

LCM of Numerators i.e. for 85,298,801 is 20289330

GCF of denominators i.e. for 73,42,370 is 1.

Thus, LCM of Fractions is 20289330.Finally, LCM of Fractions for 85/73, 298/42, 801/370 is 20289330.