Least Common Multiple of 74/625, 186/603, 769/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/625, 186/603, 769/270 quickly i.e. 5292258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/625, 186/603, 769/270 is 5292258.

LCM(74/625, 186/603, 769/270) = 5292258

LCM of 74/625, 186/603, 769/270

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 74/625,186/603,769/270

Given numbers are 74/625,186/603,769/270

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 74,186,769

Least Common Multiple of Numerators i.e. LCM of 74,186,769 is 5292258.

GCF of Denominators means GCF of 625,603,270 as per the given fractions.

GCF of 625,603,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,186,769

LCM of Fractions 74/625,186/603,769/270 is 5292258

2 74, 186, 769
37, 93, 769

∴ So the LCM of the given numbers is 2 x 37 x 93 x 769 = 5292258

Least Common Multiple of 74,186,769 with GCF Formula

Least Common Multiple of 74,186,769 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 74,186,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,186,769) = 1

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

GCF(74,186,769) x common factors =1 x 2 = 2

LCM(74,186,769) = ( 74 × 186 × 769 ) / 2

LCM(74,186,769) = 10584516 / 2

LCM(74,186,769) = 5292258


Lets's calculate GCF of 625,603,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5292258/1

Therefore the LCM of Fractions 74/625,186/603,769/270 is 5292258

Greatest Common Factor of 625,603,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,603,270 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 625,603,270 . The biggest common factor number is the GCF number.
So the greatest common factor 625,603,270 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 74/625, 186/603, 769/270

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 74/625, 186/603, 769/270?

Answer: LCM of Numerators as per given numbers 74/625, 186/603, 769/270 is

LCM of Numerators i.e. for 74,186,769 is 5292258

GCF of denominators i.e. for 625,603,270 is 1.

Thus, LCM of Fractions is 5292258.Finally, LCM of Fractions for 74/625, 186/603, 769/270 is 5292258.