Least Common Multiple of 252/30, 102/66, 146/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/30, 102/66, 146/351 quickly i.e. 104244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/30, 102/66, 146/351 is 104244.

LCM(252/30, 102/66, 146/351) = 104244

LCM of 252/30, 102/66, 146/351

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 252/30,102/66,146/351

Given numbers are 252/30,102/66,146/351

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 252,102,146

Least Common Multiple of Numerators i.e. LCM of 252,102,146 is 312732.

GCF of Denominators means GCF of 30,66,351 as per the given fractions.

GCF of 30,66,351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,102,146

LCM of Fractions 252/30,102/66,146/351 is 104244

2 252, 102, 146
3 126, 51, 73
42, 17, 73

∴ So the LCM of the given numbers is 2 x 3 x 42 x 17 x 73 = 312732

Least Common Multiple of 252,102,146 with GCF Formula

Least Common Multiple of 252,102,146 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 252,102,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,102,146) = 2

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

GCF(252,102,146) x common factors =2 x 6 = 12

LCM(252,102,146) = ( 252 × 102 × 146 ) / 12

LCM(252,102,146) = 3752784 / 12

LCM(252,102,146) = 312732


Lets's calculate GCF of 30,66,351

3 30, 66, 351
10, 22, 117

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312732/3

Therefore the LCM of Fractions 252/30,102/66,146/351 is 104244

Greatest Common Factor of 30,66,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,66,351 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 30,66,351 . The biggest common factor number is the GCF number.
So the greatest common factor 30,66,351 is 3.


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 252/30, 102/66, 146/351

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 252/30, 102/66, 146/351?

Answer: LCM of Numerators as per given numbers 252/30, 102/66, 146/351 is

LCM of Numerators i.e. for 252,102,146 is 312732

GCF of denominators i.e. for 30,66,351 is 3.

Thus, LCM of Fractions is 104244.Finally, LCM of Fractions for 252/30, 102/66, 146/351 is 104244.