Least Common Multiple of 354/55, 673/14, 414/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/55, 673/14, 414/119 quickly i.e. 16438698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/55, 673/14, 414/119 is 16438698.

LCM(354/55, 673/14, 414/119) = 16438698

LCM of 354/55, 673/14, 414/119

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 354/55,673/14,414/119

Given numbers are 354/55,673/14,414/119

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 354,673,414

Least Common Multiple of Numerators i.e. LCM of 354,673,414 is 16438698.

GCF of Denominators means GCF of 55,14,119 as per the given fractions.

GCF of 55,14,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,673,414

LCM of Fractions 354/55,673/14,414/119 is 16438698

2 354, 673, 414
3 177, 673, 207
59, 673, 69

∴ So the LCM of the given numbers is 2 x 3 x 59 x 673 x 69 = 16438698

Least Common Multiple of 354,673,414 with GCF Formula

Least Common Multiple of 354,673,414 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 354,673,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,673,414) = 1

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

GCF(354,673,414) x common factors =1 x 6 = 6

LCM(354,673,414) = ( 354 × 673 × 414 ) / 6

LCM(354,673,414) = 98632188 / 6

LCM(354,673,414) = 16438698


Lets's calculate GCF of 55,14,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16438698/1

Therefore the LCM of Fractions 354/55,673/14,414/119 is 16438698

Greatest Common Factor of 55,14,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,14,119 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 55,14,119 . The biggest common factor number is the GCF number.
So the greatest common factor 55,14,119 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 354/55, 673/14, 414/119

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 354/55, 673/14, 414/119?

Answer: LCM of Numerators as per given numbers 354/55, 673/14, 414/119 is

LCM of Numerators i.e. for 354,673,414 is 16438698

GCF of denominators i.e. for 55,14,119 is 1.

Thus, LCM of Fractions is 16438698.Finally, LCM of Fractions for 354/55, 673/14, 414/119 is 16438698.