Least Common Multiple of 14/860, 79/185, 225/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/860, 79/185, 225/340 quickly i.e. 49770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/860, 79/185, 225/340 is 49770.

LCM(14/860, 79/185, 225/340) = 49770

LCM of 14/860, 79/185, 225/340

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 14/860,79/185,225/340

Given numbers are 14/860,79/185,225/340

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 14,79,225

Least Common Multiple of Numerators i.e. LCM of 14,79,225 is 248850.

GCF of Denominators means GCF of 860,185,340 as per the given fractions.

GCF of 860,185,340 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,79,225

LCM of Fractions 14/860,79/185,225/340 is 49770

Given numbers has no common factors except 1. So, there LCM is their product i.e 248850

Least Common Multiple of 14,79,225 with GCF Formula

Least Common Multiple of 14,79,225 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 14,79,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,79,225) = 1

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

GCF(14,79,225) x common factors =1 x 1 = 1

LCM(14,79,225) = ( 14 × 79 × 225 ) / 1

LCM(14,79,225) = 248850 / 1

LCM(14,79,225) = 248850


Lets's calculate GCF of 860,185,340

5 860, 185, 340
172, 37, 68

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248850/5

Therefore the LCM of Fractions 14/860,79/185,225/340 is 49770

Greatest Common Factor of 860,185,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,185,340 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 860,185,340 . The biggest common factor number is the GCF number.
So the greatest common factor 860,185,340 is 5.


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 14/860, 79/185, 225/340

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 14/860, 79/185, 225/340?

Answer: LCM of Numerators as per given numbers 14/860, 79/185, 225/340 is

LCM of Numerators i.e. for 14,79,225 is 248850

GCF of denominators i.e. for 860,185,340 is 5.

Thus, LCM of Fractions is 49770.Finally, LCM of Fractions for 14/860, 79/185, 225/340 is 49770.