Least Common Multiple of 67/59, 219/47, 250/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/59, 219/47, 250/742 quickly i.e. 3668250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/59, 219/47, 250/742 is 3668250.

LCM(67/59, 219/47, 250/742) = 3668250

LCM of 67/59, 219/47, 250/742

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 67/59,219/47,250/742

Given numbers are 67/59,219/47,250/742

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 67,219,250

Least Common Multiple of Numerators i.e. LCM of 67,219,250 is 3668250.

GCF of Denominators means GCF of 59,47,742 as per the given fractions.

GCF of 59,47,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,219,250

LCM of Fractions 67/59,219/47,250/742 is 3668250

Given numbers has no common factors except 1. So, there LCM is their product i.e 3668250

Least Common Multiple of 67,219,250 with GCF Formula

Least Common Multiple of 67,219,250 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 67,219,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,219,250) = 1

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

GCF(67,219,250) x common factors =1 x 1 = 1

LCM(67,219,250) = ( 67 × 219 × 250 ) / 1

LCM(67,219,250) = 3668250 / 1

LCM(67,219,250) = 3668250


Lets's calculate GCF of 59,47,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3668250/1

Therefore the LCM of Fractions 67/59,219/47,250/742 is 3668250

Greatest Common Factor of 59,47,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,47,742 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 59,47,742 . The biggest common factor number is the GCF number.
So the greatest common factor 59,47,742 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 67/59, 219/47, 250/742

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 67/59, 219/47, 250/742?

Answer: LCM of Numerators as per given numbers 67/59, 219/47, 250/742 is

LCM of Numerators i.e. for 67,219,250 is 3668250

GCF of denominators i.e. for 59,47,742 is 1.

Thus, LCM of Fractions is 3668250.Finally, LCM of Fractions for 67/59, 219/47, 250/742 is 3668250.