Least Common Multiple of 364/155, 146/100, 110/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/155, 146/100, 110/446 quickly i.e. 1461460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/155, 146/100, 110/446 is 1461460.

LCM(364/155, 146/100, 110/446) = 1461460

LCM of 364/155, 146/100, 110/446

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 364/155,146/100,110/446

Given numbers are 364/155,146/100,110/446

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 364,146,110

Least Common Multiple of Numerators i.e. LCM of 364,146,110 is 1461460.

GCF of Denominators means GCF of 155,100,446 as per the given fractions.

GCF of 155,100,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,146,110

LCM of Fractions 364/155,146/100,110/446 is 1461460

2 364, 146, 110
182, 73, 55

∴ So the LCM of the given numbers is 2 x 182 x 73 x 55 = 1461460

Least Common Multiple of 364,146,110 with GCF Formula

Least Common Multiple of 364,146,110 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 364,146,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,146,110) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(364,146,110) x common factors =2 x 2 = 4

LCM(364,146,110) = ( 364 × 146 × 110 ) / 4

LCM(364,146,110) = 5845840 / 4

LCM(364,146,110) = 1461460


Lets's calculate GCF of 155,100,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1461460/1

Therefore the LCM of Fractions 364/155,146/100,110/446 is 1461460

Greatest Common Factor of 155,100,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,100,446 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 155,100,446 . The biggest common factor number is the GCF number.
So the greatest common factor 155,100,446 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 364/155, 146/100, 110/446

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 364/155, 146/100, 110/446?

Answer: LCM of Numerators as per given numbers 364/155, 146/100, 110/446 is

LCM of Numerators i.e. for 364,146,110 is 1461460

GCF of denominators i.e. for 155,100,446 is 1.

Thus, LCM of Fractions is 1461460.Finally, LCM of Fractions for 364/155, 146/100, 110/446 is 1461460.