Least Common Multiple of 612/960, 1651/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/960, 1651/202 quickly i.e. 505206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/960, 1651/202 is 505206.

LCM(612/960, 1651/202) = 505206

LCM of 612/960, 1651/202

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 612/960,1651/202

Given numbers are 612/960,1651/202

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 612,1651

Least Common Multiple of Numerators i.e. LCM of 612,1651 is 1010412.

GCF of Denominators means GCF of 960,202 as per the given fractions.

GCF of 960,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,1651

LCM of Fractions 612/960,1651/202 is 505206

Given numbers has no common factors except 1. So, there LCM is their product i.e 1010412

Least Common Multiple of 612,1651 with GCF Formula

Least Common Multiple of 612,1651 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 612,1651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,1651) = 1

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

GCF(612,1651) x common factors =1 x 1 = 1

LCM(612,1651) = ( 612 × 1651 ) / 1

LCM(612,1651) = 1010412 / 1

LCM(612,1651) = 1010412


Lets's calculate GCF of 960,202

2 960, 202
480, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1010412/2

Therefore the LCM of Fractions 612/960,1651/202 is 505206

Greatest Common Factor of 960,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,202 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 960,202 . The biggest common factor number is the GCF number.
So the greatest common factor 960,202 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 612/960, 1651/202

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 612/960, 1651/202?

Answer: LCM of Numerators as per given numbers 612/960, 1651/202 is

LCM of Numerators i.e. for 612,1651 is 1010412

GCF of denominators i.e. for 960,202 is 2.

Thus, LCM of Fractions is 505206.Finally, LCM of Fractions for 612/960, 1651/202 is 505206.