Least Common Multiple of 74/761, 985/442, 369/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/761, 985/442, 369/207 quickly i.e. 26896410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/761, 985/442, 369/207 is 26896410.

LCM(74/761, 985/442, 369/207) = 26896410

LCM of 74/761, 985/442, 369/207

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 74/761,985/442,369/207

Given numbers are 74/761,985/442,369/207

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 74,985,369

Least Common Multiple of Numerators i.e. LCM of 74,985,369 is 26896410.

GCF of Denominators means GCF of 761,442,207 as per the given fractions.

GCF of 761,442,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,985,369

LCM of Fractions 74/761,985/442,369/207 is 26896410

Given numbers has no common factors except 1. So, there LCM is their product i.e 26896410

Least Common Multiple of 74,985,369 with GCF Formula

Least Common Multiple of 74,985,369 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 74,985,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,985,369) = 1

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

GCF(74,985,369) x common factors =1 x 1 = 1

LCM(74,985,369) = ( 74 × 985 × 369 ) / 1

LCM(74,985,369) = 26896410 / 1

LCM(74,985,369) = 26896410


Lets's calculate GCF of 761,442,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26896410/1

Therefore the LCM of Fractions 74/761,985/442,369/207 is 26896410

Greatest Common Factor of 761,442,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,442,207 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 442

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

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

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 761,442,207 . The biggest common factor number is the GCF number.
So the greatest common factor 761,442,207 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 74/761, 985/442, 369/207

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 74/761, 985/442, 369/207?

Answer: LCM of Numerators as per given numbers 74/761, 985/442, 369/207 is

LCM of Numerators i.e. for 74,985,369 is 26896410

GCF of denominators i.e. for 761,442,207 is 1.

Thus, LCM of Fractions is 26896410.Finally, LCM of Fractions for 74/761, 985/442, 369/207 is 26896410.