Least Common Multiple of 53/67, 23/32, 78/69, 77/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/67, 23/32, 78/69, 77/814 quickly i.e. 7321314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/67, 23/32, 78/69, 77/814 is 7321314.

LCM(53/67, 23/32, 78/69, 77/814) = 7321314

LCM of 53/67, 23/32, 78/69, 77/814

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 53/67,23/32,78/69,77/814

Given numbers are 53/67,23/32,78/69,77/814

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 53,23,78,77

Least Common Multiple of Numerators i.e. LCM of 53,23,78,77 is 7321314.

GCF of Denominators means GCF of 67,32,69,814 as per the given fractions.

GCF of 67,32,69,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,23,78,77

LCM of Fractions 53/67,23/32,78/69,77/814 is 7321314

Given numbers has no common factors except 1. So, there LCM is their product i.e 7321314

Least Common Multiple of 53,23,78,77 with GCF Formula

Least Common Multiple of 53,23,78,77 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 53,23,78,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,23,78,77) = 1

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

GCF(53,23,78,77) x common factors =1 x 1 = 1

LCM(53,23,78,77) = ( 53 × 23 × 78 × 77 ) / 1

LCM(53,23,78,77) = 7321314 / 1

LCM(53,23,78,77) = 7321314


Lets's calculate GCF of 67,32,69,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7321314/1

Therefore the LCM of Fractions 53/67,23/32,78/69,77/814 is 7321314

Greatest Common Factor of 67,32,69,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,32,69,814 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 67,32,69,814 . The biggest common factor number is the GCF number.
So the greatest common factor 67,32,69,814 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 53/67, 23/32, 78/69, 77/814

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 53/67, 23/32, 78/69, 77/814?

Answer: LCM of Numerators as per given numbers 53/67, 23/32, 78/69, 77/814 is

LCM of Numerators i.e. for 53,23,78,77 is 7321314

GCF of denominators i.e. for 67,32,69,814 is 1.

Thus, LCM of Fractions is 7321314.Finally, LCM of Fractions for 53/67, 23/32, 78/69, 77/814 is 7321314.