Least Common Multiple of 122/360, 1757/6620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/360, 1757/6620 quickly i.e. 214354/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/360, 1757/6620 is 214354/20.

LCM(122/360, 1757/6620) = 214354/20

LCM of 122/360, 1757/6620

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 122/360,1757/6620

Given numbers are 122/360,1757/6620

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 122,1757

Least Common Multiple of Numerators i.e. LCM of 122,1757 is 214354.

GCF of Denominators means GCF of 360,6620 as per the given fractions.

GCF of 360,6620 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,1757

LCM of Fractions 122/360,1757/6620 is 214354/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 214354

Least Common Multiple of 122,1757 with GCF Formula

Least Common Multiple of 122,1757 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 122,1757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,1757) = 1

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

GCF(122,1757) x common factors =1 x 1 = 1

LCM(122,1757) = ( 122 × 1757 ) / 1

LCM(122,1757) = 214354 / 1

LCM(122,1757) = 214354


Lets's calculate GCF of 360,6620

2 360, 6620
2 180, 3310
5 90, 1655
18, 331

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214354/20

Therefore the LCM of Fractions 122/360,1757/6620 is 214354/20

Greatest Common Factor of 360,6620 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,6620 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1,2,4,5,10,20,331,662,1324,1655,3310,6620

Greatest Common Factor

We found the factors 360,6620 . The biggest common factor number is the GCF number.
So the greatest common factor 360,6620 is 20.


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 122/360, 1757/6620

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 122/360, 1757/6620?

Answer: LCM of Numerators as per given numbers 122/360, 1757/6620 is

LCM of Numerators i.e. for 122,1757 is 214354

GCF of denominators i.e. for 360,6620 is 20.

Thus, LCM of Fractions is 214354/20.Finally, LCM of Fractions for 122/360, 1757/6620 is 214354/20.