Least Common Multiple of 614/145, 127/313, 153/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/145, 127/313, 153/115 quickly i.e. 11930634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/145, 127/313, 153/115 is 11930634.

LCM(614/145, 127/313, 153/115) = 11930634

LCM of 614/145, 127/313, 153/115

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 614/145,127/313,153/115

Given numbers are 614/145,127/313,153/115

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 614,127,153

Least Common Multiple of Numerators i.e. LCM of 614,127,153 is 11930634.

GCF of Denominators means GCF of 145,313,115 as per the given fractions.

GCF of 145,313,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,127,153

LCM of Fractions 614/145,127/313,153/115 is 11930634

Given numbers has no common factors except 1. So, there LCM is their product i.e 11930634

Least Common Multiple of 614,127,153 with GCF Formula

Least Common Multiple of 614,127,153 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 614,127,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,127,153) = 1

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

GCF(614,127,153) x common factors =1 x 1 = 1

LCM(614,127,153) = ( 614 × 127 × 153 ) / 1

LCM(614,127,153) = 11930634 / 1

LCM(614,127,153) = 11930634


Lets's calculate GCF of 145,313,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11930634/1

Therefore the LCM of Fractions 614/145,127/313,153/115 is 11930634

Greatest Common Factor of 145,313,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,313,115 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 145,313,115 . The biggest common factor number is the GCF number.
So the greatest common factor 145,313,115 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 614/145, 127/313, 153/115

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 614/145, 127/313, 153/115?

Answer: LCM of Numerators as per given numbers 614/145, 127/313, 153/115 is

LCM of Numerators i.e. for 614,127,153 is 11930634

GCF of denominators i.e. for 145,313,115 is 1.

Thus, LCM of Fractions is 11930634.Finally, LCM of Fractions for 614/145, 127/313, 153/115 is 11930634.