Least Common Multiple of 775/354, 9175/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 775/354, 9175/594 quickly i.e. 284425/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 775/354, 9175/594 is 284425/6.

LCM(775/354, 9175/594) = 284425/6

LCM of 775/354, 9175/594

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 775/354,9175/594

Given numbers are 775/354,9175/594

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 775,9175

Least Common Multiple of Numerators i.e. LCM of 775,9175 is 284425.

GCF of Denominators means GCF of 354,594 as per the given fractions.

GCF of 354,594 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 775,9175

LCM of Fractions 775/354,9175/594 is 284425/6

5 775, 9175
5 155, 1835
31, 367

∴ So the LCM of the given numbers is 5 x 5 x 31 x 367 = 284425

Least Common Multiple of 775,9175 with GCF Formula

Least Common Multiple of 775,9175 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 775,9175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,9175) = 25

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

GCF(775,9175) x common factors =25 x 1 = 25

LCM(775,9175) = ( 775 × 9175 ) / 25

LCM(775,9175) = 7110625 / 25

LCM(775,9175) = 284425


Lets's calculate GCF of 354,594

2 354, 594
3 177, 297
59, 99

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284425/6

Therefore the LCM of Fractions 775/354,9175/594 is 284425/6

Greatest Common Factor of 354,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,594 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 354,594 . The biggest common factor number is the GCF number.
So the greatest common factor 354,594 is 6.


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 775/354, 9175/594

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 775/354, 9175/594?

Answer: LCM of Numerators as per given numbers 775/354, 9175/594 is

LCM of Numerators i.e. for 775,9175 is 284425

GCF of denominators i.e. for 354,594 is 6.

Thus, LCM of Fractions is 284425/6.Finally, LCM of Fractions for 775/354, 9175/594 is 284425/6.