Least Common Multiple of 425/611, 445/867, 738/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 425/611, 445/867, 738/442 quickly i.e. 27914850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/611, 445/867, 738/442 is 27914850.

LCM(425/611, 445/867, 738/442) = 27914850

LCM of 425/611, 445/867, 738/442

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 425/611,445/867,738/442

Given numbers are 425/611,445/867,738/442

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 425,445,738

Least Common Multiple of Numerators i.e. LCM of 425,445,738 is 27914850.

GCF of Denominators means GCF of 611,867,442 as per the given fractions.

GCF of 611,867,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,445,738

LCM of Fractions 425/611,445/867,738/442 is 27914850

5 425, 445, 738
85, 89, 738

∴ So the LCM of the given numbers is 5 x 85 x 89 x 738 = 27914850

Least Common Multiple of 425,445,738 with GCF Formula

Least Common Multiple of 425,445,738 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 425,445,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,445,738) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(425,445,738) x common factors =1 x 5 = 5

LCM(425,445,738) = ( 425 × 445 × 738 ) / 5

LCM(425,445,738) = 139574250 / 5

LCM(425,445,738) = 27914850


Lets's calculate GCF of 611,867,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27914850/1

Therefore the LCM of Fractions 425/611,445/867,738/442 is 27914850

Greatest Common Factor of 611,867,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,867,442 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 611,867,442 . The biggest common factor number is the GCF number.
So the greatest common factor 611,867,442 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 425/611, 445/867, 738/442

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 425/611, 445/867, 738/442?

Answer: LCM of Numerators as per given numbers 425/611, 445/867, 738/442 is

LCM of Numerators i.e. for 425,445,738 is 27914850

GCF of denominators i.e. for 611,867,442 is 1.

Thus, LCM of Fractions is 27914850.Finally, LCM of Fractions for 425/611, 445/867, 738/442 is 27914850.