Least Common Multiple of 97/769, 61/807, 388/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/769, 61/807, 388/427 quickly i.e. 23668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/769, 61/807, 388/427 is 23668.

LCM(97/769, 61/807, 388/427) = 23668

LCM of 97/769, 61/807, 388/427

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 97/769,61/807,388/427

Given numbers are 97/769,61/807,388/427

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 97,61,388

Least Common Multiple of Numerators i.e. LCM of 97,61,388 is 23668.

GCF of Denominators means GCF of 769,807,427 as per the given fractions.

GCF of 769,807,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,61,388

LCM of Fractions 97/769,61/807,388/427 is 23668

97 97, 61, 388
1, 61, 4

∴ So the LCM of the given numbers is 97 x 1 x 61 x 4 = 23668

Least Common Multiple of 97,61,388 with GCF Formula

Least Common Multiple of 97,61,388 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 97,61,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,61,388) = 1

common factors(in case of two or more numbers have common factors) = 97

GCF(97,61,388) x common factors =1 x 97 = 97

LCM(97,61,388) = ( 97 × 61 × 388 ) / 97

LCM(97,61,388) = 2295796 / 97

LCM(97,61,388) = 23668


Lets's calculate GCF of 769,807,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23668/1

Therefore the LCM of Fractions 97/769,61/807,388/427 is 23668

Greatest Common Factor of 769,807,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,807,427 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 769,807,427 . The biggest common factor number is the GCF number.
So the greatest common factor 769,807,427 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/769, 61/807, 388/427

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 97/769, 61/807, 388/427?

Answer: LCM of Numerators as per given numbers 97/769, 61/807, 388/427 is

LCM of Numerators i.e. for 97,61,388 is 23668

GCF of denominators i.e. for 769,807,427 is 1.

Thus, LCM of Fractions is 23668.Finally, LCM of Fractions for 97/769, 61/807, 388/427 is 23668.