Least Common Multiple of 778/964, 871/789, 631/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 778/964, 871/789, 631/814 quickly i.e. 427589578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/964, 871/789, 631/814 is 427589578.

LCM(778/964, 871/789, 631/814) = 427589578

LCM of 778/964, 871/789, 631/814

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 778/964,871/789,631/814

Given numbers are 778/964,871/789,631/814

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 778,871,631

Least Common Multiple of Numerators i.e. LCM of 778,871,631 is 427589578.

GCF of Denominators means GCF of 964,789,814 as per the given fractions.

GCF of 964,789,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,871,631

LCM of Fractions 778/964,871/789,631/814 is 427589578

Given numbers has no common factors except 1. So, there LCM is their product i.e 427589578

Least Common Multiple of 778,871,631 with GCF Formula

Least Common Multiple of 778,871,631 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 778,871,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,871,631) = 1

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

GCF(778,871,631) x common factors =1 x 1 = 1

LCM(778,871,631) = ( 778 × 871 × 631 ) / 1

LCM(778,871,631) = 427589578 / 1

LCM(778,871,631) = 427589578


Lets's calculate GCF of 964,789,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427589578/1

Therefore the LCM of Fractions 778/964,871/789,631/814 is 427589578

Greatest Common Factor of 964,789,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,789,814 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

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 964,789,814 . The biggest common factor number is the GCF number.
So the greatest common factor 964,789,814 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 778/964, 871/789, 631/814

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 778/964, 871/789, 631/814?

Answer: LCM of Numerators as per given numbers 778/964, 871/789, 631/814 is

LCM of Numerators i.e. for 778,871,631 is 427589578

GCF of denominators i.e. for 964,789,814 is 1.

Thus, LCM of Fractions is 427589578.Finally, LCM of Fractions for 778/964, 871/789, 631/814 is 427589578.