Least Common Multiple of 85/60, 207/86, 920/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/60, 207/86, 920/449 quickly i.e. 140760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/60, 207/86, 920/449 is 140760.

LCM(85/60, 207/86, 920/449) = 140760

LCM of 85/60, 207/86, 920/449

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 85/60,207/86,920/449

Given numbers are 85/60,207/86,920/449

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 85,207,920

Least Common Multiple of Numerators i.e. LCM of 85,207,920 is 140760.

GCF of Denominators means GCF of 60,86,449 as per the given fractions.

GCF of 60,86,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,207,920

LCM of Fractions 85/60,207/86,920/449 is 140760

5 85, 207, 920
23 17, 207, 184
17, 9, 8

∴ So the LCM of the given numbers is 5 x 23 x 17 x 9 x 8 = 140760

Least Common Multiple of 85,207,920 with GCF Formula

Least Common Multiple of 85,207,920 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 85,207,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,207,920) = 1

common factors(in case of two or more numbers have common factors) = 115

GCF(85,207,920) x common factors =1 x 115 = 115

LCM(85,207,920) = ( 85 × 207 × 920 ) / 115

LCM(85,207,920) = 16187400 / 115

LCM(85,207,920) = 140760


Lets's calculate GCF of 60,86,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140760/1

Therefore the LCM of Fractions 85/60,207/86,920/449 is 140760

Greatest Common Factor of 60,86,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,86,449 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 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 60,86,449 . The biggest common factor number is the GCF number.
So the greatest common factor 60,86,449 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 85/60, 207/86, 920/449

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 85/60, 207/86, 920/449?

Answer: LCM of Numerators as per given numbers 85/60, 207/86, 920/449 is

LCM of Numerators i.e. for 85,207,920 is 140760

GCF of denominators i.e. for 60,86,449 is 1.

Thus, LCM of Fractions is 140760.Finally, LCM of Fractions for 85/60, 207/86, 920/449 is 140760.