Least Common Multiple of 48/128, 167/510, 978/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/128, 167/510, 978/407 quickly i.e. 1306608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/128, 167/510, 978/407 is 1306608.

LCM(48/128, 167/510, 978/407) = 1306608

LCM of 48/128, 167/510, 978/407

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 48/128,167/510,978/407

Given numbers are 48/128,167/510,978/407

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 48,167,978

Least Common Multiple of Numerators i.e. LCM of 48,167,978 is 1306608.

GCF of Denominators means GCF of 128,510,407 as per the given fractions.

GCF of 128,510,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,167,978

LCM of Fractions 48/128,167/510,978/407 is 1306608

2 48, 167, 978
3 24, 167, 489
8, 167, 163

∴ So the LCM of the given numbers is 2 x 3 x 8 x 167 x 163 = 1306608

Least Common Multiple of 48,167,978 with GCF Formula

Least Common Multiple of 48,167,978 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 48,167,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,167,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(48,167,978) x common factors =1 x 6 = 6

LCM(48,167,978) = ( 48 × 167 × 978 ) / 6

LCM(48,167,978) = 7839648 / 6

LCM(48,167,978) = 1306608


Lets's calculate GCF of 128,510,407

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1306608/1

Therefore the LCM of Fractions 48/128,167/510,978/407 is 1306608

Greatest Common Factor of 128,510,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,510,407 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 128,510,407 . The biggest common factor number is the GCF number.
So the greatest common factor 128,510,407 is 1.


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 48/128, 167/510, 978/407

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 48/128, 167/510, 978/407?

Answer: LCM of Numerators as per given numbers 48/128, 167/510, 978/407 is

LCM of Numerators i.e. for 48,167,978 is 1306608

GCF of denominators i.e. for 128,510,407 is 1.

Thus, LCM of Fractions is 1306608.Finally, LCM of Fractions for 48/128, 167/510, 978/407 is 1306608.