Least Common Multiple of 427/67, 769/21, 740/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/67, 769/21, 740/95 quickly i.e. 242988620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/67, 769/21, 740/95 is 242988620.

LCM(427/67, 769/21, 740/95) = 242988620

LCM of 427/67, 769/21, 740/95

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 427/67,769/21,740/95

Given numbers are 427/67,769/21,740/95

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 427,769,740

Least Common Multiple of Numerators i.e. LCM of 427,769,740 is 242988620.

GCF of Denominators means GCF of 67,21,95 as per the given fractions.

GCF of 67,21,95 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,769,740

LCM of Fractions 427/67,769/21,740/95 is 242988620

Given numbers has no common factors except 1. So, there LCM is their product i.e 242988620

Least Common Multiple of 427,769,740 with GCF Formula

Least Common Multiple of 427,769,740 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 427,769,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,769,740) = 1

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

GCF(427,769,740) x common factors =1 x 1 = 1

LCM(427,769,740) = ( 427 × 769 × 740 ) / 1

LCM(427,769,740) = 242988620 / 1

LCM(427,769,740) = 242988620


Lets's calculate GCF of 67,21,95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242988620/1

Therefore the LCM of Fractions 427/67,769/21,740/95 is 242988620

Greatest Common Factor of 67,21,95 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,21,95 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Greatest Common Factor

We found the factors 67,21,95 . The biggest common factor number is the GCF number.
So the greatest common factor 67,21,95 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 427/67, 769/21, 740/95

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 427/67, 769/21, 740/95?

Answer: LCM of Numerators as per given numbers 427/67, 769/21, 740/95 is

LCM of Numerators i.e. for 427,769,740 is 242988620

GCF of denominators i.e. for 67,21,95 is 1.

Thus, LCM of Fractions is 242988620.Finally, LCM of Fractions for 427/67, 769/21, 740/95 is 242988620.