Least Common Multiple of 67/53, 67/549, 345/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/53, 67/549, 345/375 quickly i.e. 23115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/53, 67/549, 345/375 is 23115.

LCM(67/53, 67/549, 345/375) = 23115

LCM of 67/53, 67/549, 345/375

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 67/53,67/549,345/375

Given numbers are 67/53,67/549,345/375

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 67,67,345

Least Common Multiple of Numerators i.e. LCM of 67,67,345 is 23115.

GCF of Denominators means GCF of 53,549,375 as per the given fractions.

GCF of 53,549,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,67,345

LCM of Fractions 67/53,67/549,345/375 is 23115

67 67, 67, 345
1, 1, 345

∴ So the LCM of the given numbers is 67 x 1 x 1 x 345 = 23115

Least Common Multiple of 67,67,345 with GCF Formula

Least Common Multiple of 67,67,345 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 67,67,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,67,345) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(67,67,345) x common factors =1 x 67 = 67

LCM(67,67,345) = ( 67 × 67 × 345 ) / 67

LCM(67,67,345) = 1548705 / 67

LCM(67,67,345) = 23115


Lets's calculate GCF of 53,549,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23115/1

Therefore the LCM of Fractions 67/53,67/549,345/375 is 23115

Greatest Common Factor of 53,549,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,549,375 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 53,549,375 . The biggest common factor number is the GCF number.
So the greatest common factor 53,549,375 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 67/53, 67/549, 345/375

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 67/53, 67/549, 345/375?

Answer: LCM of Numerators as per given numbers 67/53, 67/549, 345/375 is

LCM of Numerators i.e. for 67,67,345 is 23115

GCF of denominators i.e. for 53,549,375 is 1.

Thus, LCM of Fractions is 23115.Finally, LCM of Fractions for 67/53, 67/549, 345/375 is 23115.