Least Common Multiple of 152/14, 4346/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 152/14, 4346/110 quickly i.e. 165148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/14, 4346/110 is 165148.

LCM(152/14, 4346/110) = 165148

LCM of 152/14, 4346/110

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 152/14,4346/110

Given numbers are 152/14,4346/110

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 152,4346

Least Common Multiple of Numerators i.e. LCM of 152,4346 is 330296.

GCF of Denominators means GCF of 14,110 as per the given fractions.

GCF of 14,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,4346

LCM of Fractions 152/14,4346/110 is 165148

2 152, 4346
76, 2173

∴ So the LCM of the given numbers is 2 x 76 x 2173 = 330296

Least Common Multiple of 152,4346 with GCF Formula

Least Common Multiple of 152,4346 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 152,4346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,4346) = 2

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

GCF(152,4346) x common factors =2 x 1 = 2

LCM(152,4346) = ( 152 × 4346 ) / 2

LCM(152,4346) = 660592 / 2

LCM(152,4346) = 330296


Lets's calculate GCF of 14,110

2 14, 110
7, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330296/2

Therefore the LCM of Fractions 152/14,4346/110 is 165148

Greatest Common Factor of 14,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,110 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 14,110 . The biggest common factor number is the GCF number.
So the greatest common factor 14,110 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 152/14, 4346/110

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 152/14, 4346/110?

Answer: LCM of Numerators as per given numbers 152/14, 4346/110 is

LCM of Numerators i.e. for 152,4346 is 330296

GCF of denominators i.e. for 14,110 is 2.

Thus, LCM of Fractions is 165148.Finally, LCM of Fractions for 152/14, 4346/110 is 165148.