Least Common Multiple of 151/70, 511/78, 163/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 151/70, 511/78, 163/19 quickly i.e. 12577243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 151/70, 511/78, 163/19 is 12577243.

LCM(151/70, 511/78, 163/19) = 12577243

LCM of 151/70, 511/78, 163/19

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 151/70,511/78,163/19

Given numbers are 151/70,511/78,163/19

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 151,511,163

Least Common Multiple of Numerators i.e. LCM of 151,511,163 is 12577243.

GCF of Denominators means GCF of 70,78,19 as per the given fractions.

GCF of 70,78,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 151,511,163

LCM of Fractions 151/70,511/78,163/19 is 12577243

Given numbers has no common factors except 1. So, there LCM is their product i.e 12577243

Least Common Multiple of 151,511,163 with GCF Formula

Least Common Multiple of 151,511,163 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 151,511,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,511,163) = 1

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

GCF(151,511,163) x common factors =1 x 1 = 1

LCM(151,511,163) = ( 151 × 511 × 163 ) / 1

LCM(151,511,163) = 12577243 / 1

LCM(151,511,163) = 12577243


Lets's calculate GCF of 70,78,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12577243/1

Therefore the LCM of Fractions 151/70,511/78,163/19 is 12577243

Greatest Common Factor of 70,78,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,78,19 By Matching Biggest Common Factor Method

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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 70,78,19 . The biggest common factor number is the GCF number.
So the greatest common factor 70,78,19 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 151/70, 511/78, 163/19

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 151/70, 511/78, 163/19?

Answer: LCM of Numerators as per given numbers 151/70, 511/78, 163/19 is

LCM of Numerators i.e. for 151,511,163 is 12577243

GCF of denominators i.e. for 70,78,19 is 1.

Thus, LCM of Fractions is 12577243.Finally, LCM of Fractions for 151/70, 511/78, 163/19 is 12577243.