Least Common Multiple of 101/830, 3151/3602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/830, 3151/3602 quickly i.e. 318251/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/830, 3151/3602 is 318251/2.

LCM(101/830, 3151/3602) = 318251/2

LCM of 101/830, 3151/3602

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 101/830,3151/3602

Given numbers are 101/830,3151/3602

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 101,3151

Least Common Multiple of Numerators i.e. LCM of 101,3151 is 318251.

GCF of Denominators means GCF of 830,3602 as per the given fractions.

GCF of 830,3602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,3151

LCM of Fractions 101/830,3151/3602 is 318251/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 318251

Least Common Multiple of 101,3151 with GCF Formula

Least Common Multiple of 101,3151 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 101,3151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,3151) = 1

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

GCF(101,3151) x common factors =1 x 1 = 1

LCM(101,3151) = ( 101 × 3151 ) / 1

LCM(101,3151) = 318251 / 1

LCM(101,3151) = 318251


Lets's calculate GCF of 830,3602

2 830, 3602
415, 1801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318251/2

Therefore the LCM of Fractions 101/830,3151/3602 is 318251/2

Greatest Common Factor of 830,3602 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,3602 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 3602

List of positive integer factors of 3602 that divides 3602 without a remainder.

1,2,1801,3602

Greatest Common Factor

We found the factors 830,3602 . The biggest common factor number is the GCF number.
So the greatest common factor 830,3602 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 101/830, 3151/3602

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 101/830, 3151/3602?

Answer: LCM of Numerators as per given numbers 101/830, 3151/3602 is

LCM of Numerators i.e. for 101,3151 is 318251

GCF of denominators i.e. for 830,3602 is 2.

Thus, LCM of Fractions is 318251/2.Finally, LCM of Fractions for 101/830, 3151/3602 is 318251/2.