Least Common Multiple of 257/60, 984/6356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/60, 984/6356 quickly i.e. 63222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/60, 984/6356 is 63222.

LCM(257/60, 984/6356) = 63222

LCM of 257/60, 984/6356

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 257/60,984/6356

Given numbers are 257/60,984/6356

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 257,984

Least Common Multiple of Numerators i.e. LCM of 257,984 is 252888.

GCF of Denominators means GCF of 60,6356 as per the given fractions.

GCF of 60,6356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,984

LCM of Fractions 257/60,984/6356 is 63222

Given numbers has no common factors except 1. So, there LCM is their product i.e 252888

Least Common Multiple of 257,984 with GCF Formula

Least Common Multiple of 257,984 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 257,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,984) = 1

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

GCF(257,984) x common factors =1 x 1 = 1

LCM(257,984) = ( 257 × 984 ) / 1

LCM(257,984) = 252888 / 1

LCM(257,984) = 252888


Lets's calculate GCF of 60,6356

2 60, 6356
2 30, 3178
15, 1589

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252888/4

Therefore the LCM of Fractions 257/60,984/6356 is 63222

Greatest Common Factor of 60,6356 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,6356 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1,2,4,7,14,28,227,454,908,1589,3178,6356

Greatest Common Factor

We found the factors 60,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 60,6356 is 4.


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 257/60, 984/6356

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 257/60, 984/6356?

Answer: LCM of Numerators as per given numbers 257/60, 984/6356 is

LCM of Numerators i.e. for 257,984 is 252888

GCF of denominators i.e. for 60,6356 is 4.

Thus, LCM of Fractions is 63222.Finally, LCM of Fractions for 257/60, 984/6356 is 63222.