Least Common Multiple of 354/94, 401/34, 378/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/94, 401/34, 378/818 quickly i.e. 4471551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/94, 401/34, 378/818 is 4471551.

LCM(354/94, 401/34, 378/818) = 4471551

LCM of 354/94, 401/34, 378/818

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 354/94,401/34,378/818

Given numbers are 354/94,401/34,378/818

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 354,401,378

Least Common Multiple of Numerators i.e. LCM of 354,401,378 is 8943102.

GCF of Denominators means GCF of 94,34,818 as per the given fractions.

GCF of 94,34,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,401,378

LCM of Fractions 354/94,401/34,378/818 is 4471551

2 354, 401, 378
3 177, 401, 189
59, 401, 63

∴ So the LCM of the given numbers is 2 x 3 x 59 x 401 x 63 = 8943102

Least Common Multiple of 354,401,378 with GCF Formula

Least Common Multiple of 354,401,378 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 354,401,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,401,378) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(354,401,378) x common factors =1 x 6 = 6

LCM(354,401,378) = ( 354 × 401 × 378 ) / 6

LCM(354,401,378) = 53658612 / 6

LCM(354,401,378) = 8943102


Lets's calculate GCF of 94,34,818

2 94, 34, 818
47, 17, 409

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8943102/2

Therefore the LCM of Fractions 354/94,401/34,378/818 is 4471551

Greatest Common Factor of 94,34,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,34,818 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 94,34,818 . The biggest common factor number is the GCF number.
So the greatest common factor 94,34,818 is 2.


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 354/94, 401/34, 378/818

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 354/94, 401/34, 378/818?

Answer: LCM of Numerators as per given numbers 354/94, 401/34, 378/818 is

LCM of Numerators i.e. for 354,401,378 is 8943102

GCF of denominators i.e. for 94,34,818 is 2.

Thus, LCM of Fractions is 4471551.Finally, LCM of Fractions for 354/94, 401/34, 378/818 is 4471551.