Least Common Multiple of 877/707, 744/290, 110/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 877/707, 744/290, 110/189 quickly i.e. 35886840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/707, 744/290, 110/189 is 35886840.

LCM(877/707, 744/290, 110/189) = 35886840

LCM of 877/707, 744/290, 110/189

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 877/707,744/290,110/189

Given numbers are 877/707,744/290,110/189

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 877,744,110

Least Common Multiple of Numerators i.e. LCM of 877,744,110 is 35886840.

GCF of Denominators means GCF of 707,290,189 as per the given fractions.

GCF of 707,290,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,744,110

LCM of Fractions 877/707,744/290,110/189 is 35886840

2 877, 744, 110
877, 372, 55

∴ So the LCM of the given numbers is 2 x 877 x 372 x 55 = 35886840

Least Common Multiple of 877,744,110 with GCF Formula

Least Common Multiple of 877,744,110 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 877,744,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,744,110) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(877,744,110) x common factors =1 x 2 = 2

LCM(877,744,110) = ( 877 × 744 × 110 ) / 2

LCM(877,744,110) = 71773680 / 2

LCM(877,744,110) = 35886840


Lets's calculate GCF of 707,290,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35886840/1

Therefore the LCM of Fractions 877/707,744/290,110/189 is 35886840

Greatest Common Factor of 707,290,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,290,189 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 707,290,189 . The biggest common factor number is the GCF number.
So the greatest common factor 707,290,189 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 877/707, 744/290, 110/189

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 877/707, 744/290, 110/189?

Answer: LCM of Numerators as per given numbers 877/707, 744/290, 110/189 is

LCM of Numerators i.e. for 877,744,110 is 35886840

GCF of denominators i.e. for 707,290,189 is 1.

Thus, LCM of Fractions is 35886840.Finally, LCM of Fractions for 877/707, 744/290, 110/189 is 35886840.