Least Common Multiple of 395/48, 156/70, 719/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/48, 156/70, 719/508 quickly i.e. 22152390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/48, 156/70, 719/508 is 22152390.

LCM(395/48, 156/70, 719/508) = 22152390

LCM of 395/48, 156/70, 719/508

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 395/48,156/70,719/508

Given numbers are 395/48,156/70,719/508

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 395,156,719

Least Common Multiple of Numerators i.e. LCM of 395,156,719 is 44304780.

GCF of Denominators means GCF of 48,70,508 as per the given fractions.

GCF of 48,70,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,156,719

LCM of Fractions 395/48,156/70,719/508 is 22152390

Given numbers has no common factors except 1. So, there LCM is their product i.e 44304780

Least Common Multiple of 395,156,719 with GCF Formula

Least Common Multiple of 395,156,719 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 395,156,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,156,719) = 1

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

GCF(395,156,719) x common factors =1 x 1 = 1

LCM(395,156,719) = ( 395 × 156 × 719 ) / 1

LCM(395,156,719) = 44304780 / 1

LCM(395,156,719) = 44304780


Lets's calculate GCF of 48,70,508

2 48, 70, 508
24, 35, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44304780/2

Therefore the LCM of Fractions 395/48,156/70,719/508 is 22152390

Greatest Common Factor of 48,70,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,70,508 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 48,70,508 . The biggest common factor number is the GCF number.
So the greatest common factor 48,70,508 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 395/48, 156/70, 719/508

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 395/48, 156/70, 719/508?

Answer: LCM of Numerators as per given numbers 395/48, 156/70, 719/508 is

LCM of Numerators i.e. for 395,156,719 is 44304780

GCF of denominators i.e. for 48,70,508 is 2.

Thus, LCM of Fractions is 22152390.Finally, LCM of Fractions for 395/48, 156/70, 719/508 is 22152390.