Least Common Multiple of 789/40, 274/77, 989/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/40, 274/77, 989/607 quickly i.e. 213807954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/40, 274/77, 989/607 is 213807954.

LCM(789/40, 274/77, 989/607) = 213807954

LCM of 789/40, 274/77, 989/607

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 789/40,274/77,989/607

Given numbers are 789/40,274/77,989/607

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 789,274,989

Least Common Multiple of Numerators i.e. LCM of 789,274,989 is 213807954.

GCF of Denominators means GCF of 40,77,607 as per the given fractions.

GCF of 40,77,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,274,989

LCM of Fractions 789/40,274/77,989/607 is 213807954

Given numbers has no common factors except 1. So, there LCM is their product i.e 213807954

Least Common Multiple of 789,274,989 with GCF Formula

Least Common Multiple of 789,274,989 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 789,274,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,274,989) = 1

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

GCF(789,274,989) x common factors =1 x 1 = 1

LCM(789,274,989) = ( 789 × 274 × 989 ) / 1

LCM(789,274,989) = 213807954 / 1

LCM(789,274,989) = 213807954


Lets's calculate GCF of 40,77,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213807954/1

Therefore the LCM of Fractions 789/40,274/77,989/607 is 213807954

Greatest Common Factor of 40,77,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,77,607 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 40,77,607 . The biggest common factor number is the GCF number.
So the greatest common factor 40,77,607 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 789/40, 274/77, 989/607

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 789/40, 274/77, 989/607?

Answer: LCM of Numerators as per given numbers 789/40, 274/77, 989/607 is

LCM of Numerators i.e. for 789,274,989 is 213807954

GCF of denominators i.e. for 40,77,607 is 1.

Thus, LCM of Fractions is 213807954.Finally, LCM of Fractions for 789/40, 274/77, 989/607 is 213807954.