Least Common Multiple of 71/74, 44/361, 675/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/74, 44/361, 675/925 quickly i.e. 2108700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/74, 44/361, 675/925 is 2108700.

LCM(71/74, 44/361, 675/925) = 2108700

LCM of 71/74, 44/361, 675/925

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 71/74,44/361,675/925

Given numbers are 71/74,44/361,675/925

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 71,44,675

Least Common Multiple of Numerators i.e. LCM of 71,44,675 is 2108700.

GCF of Denominators means GCF of 74,361,925 as per the given fractions.

GCF of 74,361,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,44,675

LCM of Fractions 71/74,44/361,675/925 is 2108700

Given numbers has no common factors except 1. So, there LCM is their product i.e 2108700

Least Common Multiple of 71,44,675 with GCF Formula

Least Common Multiple of 71,44,675 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 71,44,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,44,675) = 1

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

GCF(71,44,675) x common factors =1 x 1 = 1

LCM(71,44,675) = ( 71 × 44 × 675 ) / 1

LCM(71,44,675) = 2108700 / 1

LCM(71,44,675) = 2108700


Lets's calculate GCF of 74,361,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2108700/1

Therefore the LCM of Fractions 71/74,44/361,675/925 is 2108700

Greatest Common Factor of 74,361,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,361,925 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 74,361,925 . The biggest common factor number is the GCF number.
So the greatest common factor 74,361,925 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 71/74, 44/361, 675/925

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 71/74, 44/361, 675/925?

Answer: LCM of Numerators as per given numbers 71/74, 44/361, 675/925 is

LCM of Numerators i.e. for 71,44,675 is 2108700

GCF of denominators i.e. for 74,361,925 is 1.

Thus, LCM of Fractions is 2108700.Finally, LCM of Fractions for 71/74, 44/361, 675/925 is 2108700.