Least Common Multiple of 51/462, 35/120, 139/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/462, 35/120, 139/201 quickly i.e. 82705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/462, 35/120, 139/201 is 82705.

LCM(51/462, 35/120, 139/201) = 82705

LCM of 51/462, 35/120, 139/201

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 51/462,35/120,139/201

Given numbers are 51/462,35/120,139/201

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 51,35,139

Least Common Multiple of Numerators i.e. LCM of 51,35,139 is 248115.

GCF of Denominators means GCF of 462,120,201 as per the given fractions.

GCF of 462,120,201 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,35,139

LCM of Fractions 51/462,35/120,139/201 is 82705

Given numbers has no common factors except 1. So, there LCM is their product i.e 248115

Least Common Multiple of 51,35,139 with GCF Formula

Least Common Multiple of 51,35,139 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 51,35,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,35,139) = 1

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

GCF(51,35,139) x common factors =1 x 1 = 1

LCM(51,35,139) = ( 51 × 35 × 139 ) / 1

LCM(51,35,139) = 248115 / 1

LCM(51,35,139) = 248115


Lets's calculate GCF of 462,120,201

3 462, 120, 201
154, 40, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248115/3

Therefore the LCM of Fractions 51/462,35/120,139/201 is 82705

Greatest Common Factor of 462,120,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,120,201 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 462,120,201 . The biggest common factor number is the GCF number.
So the greatest common factor 462,120,201 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 51/462, 35/120, 139/201

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 51/462, 35/120, 139/201?

Answer: LCM of Numerators as per given numbers 51/462, 35/120, 139/201 is

LCM of Numerators i.e. for 51,35,139 is 248115

GCF of denominators i.e. for 462,120,201 is 3.

Thus, LCM of Fractions is 82705.Finally, LCM of Fractions for 51/462, 35/120, 139/201 is 82705.