Least Common Multiple of 56/146, 58/254, 905/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/146, 58/254, 905/302 quickly i.e. 734860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/146, 58/254, 905/302 is 734860.

LCM(56/146, 58/254, 905/302) = 734860

LCM of 56/146, 58/254, 905/302

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 56/146,58/254,905/302

Given numbers are 56/146,58/254,905/302

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 56,58,905

Least Common Multiple of Numerators i.e. LCM of 56,58,905 is 1469720.

GCF of Denominators means GCF of 146,254,302 as per the given fractions.

GCF of 146,254,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,58,905

LCM of Fractions 56/146,58/254,905/302 is 734860

2 56, 58, 905
28, 29, 905

∴ So the LCM of the given numbers is 2 x 28 x 29 x 905 = 1469720

Least Common Multiple of 56,58,905 with GCF Formula

Least Common Multiple of 56,58,905 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 56,58,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,58,905) = 1

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

GCF(56,58,905) x common factors =1 x 2 = 2

LCM(56,58,905) = ( 56 × 58 × 905 ) / 2

LCM(56,58,905) = 2939440 / 2

LCM(56,58,905) = 1469720


Lets's calculate GCF of 146,254,302

2 146, 254, 302
73, 127, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1469720/2

Therefore the LCM of Fractions 56/146,58/254,905/302 is 734860

Greatest Common Factor of 146,254,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,254,302 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 146,254,302 . The biggest common factor number is the GCF number.
So the greatest common factor 146,254,302 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 56/146, 58/254, 905/302

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 56/146, 58/254, 905/302?

Answer: LCM of Numerators as per given numbers 56/146, 58/254, 905/302 is

LCM of Numerators i.e. for 56,58,905 is 1469720

GCF of denominators i.e. for 146,254,302 is 2.

Thus, LCM of Fractions is 734860.Finally, LCM of Fractions for 56/146, 58/254, 905/302 is 734860.