Least Common Multiple of 53/398, 49/222, 380/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/398, 49/222, 380/675 quickly i.e. 986860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/398, 49/222, 380/675 is 986860.

LCM(53/398, 49/222, 380/675) = 986860

LCM of 53/398, 49/222, 380/675

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 53/398,49/222,380/675

Given numbers are 53/398,49/222,380/675

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 53,49,380

Least Common Multiple of Numerators i.e. LCM of 53,49,380 is 986860.

GCF of Denominators means GCF of 398,222,675 as per the given fractions.

GCF of 398,222,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,49,380

LCM of Fractions 53/398,49/222,380/675 is 986860

Given numbers has no common factors except 1. So, there LCM is their product i.e 986860

Least Common Multiple of 53,49,380 with GCF Formula

Least Common Multiple of 53,49,380 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 53,49,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,49,380) = 1

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

GCF(53,49,380) x common factors =1 x 1 = 1

LCM(53,49,380) = ( 53 × 49 × 380 ) / 1

LCM(53,49,380) = 986860 / 1

LCM(53,49,380) = 986860


Lets's calculate GCF of 398,222,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 986860/1

Therefore the LCM of Fractions 53/398,49/222,380/675 is 986860

Greatest Common Factor of 398,222,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,222,675 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 398,222,675 . The biggest common factor number is the GCF number.
So the greatest common factor 398,222,675 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 53/398, 49/222, 380/675

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 53/398, 49/222, 380/675?

Answer: LCM of Numerators as per given numbers 53/398, 49/222, 380/675 is

LCM of Numerators i.e. for 53,49,380 is 986860

GCF of denominators i.e. for 398,222,675 is 1.

Thus, LCM of Fractions is 986860.Finally, LCM of Fractions for 53/398, 49/222, 380/675 is 986860.