Least Common Multiple of 257/620, 7004/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/620, 7004/660 quickly i.e. 1800028/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/620, 7004/660 is 1800028/20.

LCM(257/620, 7004/660) = 1800028/20

LCM of 257/620, 7004/660

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 257/620,7004/660

Given numbers are 257/620,7004/660

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 257,7004

Least Common Multiple of Numerators i.e. LCM of 257,7004 is 1800028.

GCF of Denominators means GCF of 620,660 as per the given fractions.

GCF of 620,660 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,7004

LCM of Fractions 257/620,7004/660 is 1800028/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 1800028

Least Common Multiple of 257,7004 with GCF Formula

Least Common Multiple of 257,7004 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 257,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,7004) = 1

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

GCF(257,7004) x common factors =1 x 1 = 1

LCM(257,7004) = ( 257 × 7004 ) / 1

LCM(257,7004) = 1800028 / 1

LCM(257,7004) = 1800028


Lets's calculate GCF of 620,660

2 620, 660
2 310, 330
5 155, 165
31, 33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800028/20

Therefore the LCM of Fractions 257/620,7004/660 is 1800028/20

Greatest Common Factor of 620,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,660 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 620,660 . The biggest common factor number is the GCF number.
So the greatest common factor 620,660 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 257/620, 7004/660

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 257/620, 7004/660?

Answer: LCM of Numerators as per given numbers 257/620, 7004/660 is

LCM of Numerators i.e. for 257,7004 is 1800028

GCF of denominators i.e. for 620,660 is 20.

Thus, LCM of Fractions is 1800028/20.Finally, LCM of Fractions for 257/620, 7004/660 is 1800028/20.