Least Common Multiple of 19/102, 23/770, 965/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/102, 23/770, 965/478 quickly i.e. 421705/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/102, 23/770, 965/478 is 421705/2.

LCM(19/102, 23/770, 965/478) = 421705/2

LCM of 19/102, 23/770, 965/478

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 19/102,23/770,965/478

Given numbers are 19/102,23/770,965/478

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 19,23,965

Least Common Multiple of Numerators i.e. LCM of 19,23,965 is 421705.

GCF of Denominators means GCF of 102,770,478 as per the given fractions.

GCF of 102,770,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,23,965

LCM of Fractions 19/102,23/770,965/478 is 421705/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 421705

Least Common Multiple of 19,23,965 with GCF Formula

Least Common Multiple of 19,23,965 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 19,23,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,23,965) = 1

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

GCF(19,23,965) x common factors =1 x 1 = 1

LCM(19,23,965) = ( 19 × 23 × 965 ) / 1

LCM(19,23,965) = 421705 / 1

LCM(19,23,965) = 421705


Lets's calculate GCF of 102,770,478

2 102, 770, 478
51, 385, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421705/2

Therefore the LCM of Fractions 19/102,23/770,965/478 is 421705/2

Greatest Common Factor of 102,770,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,770,478 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 102,770,478 . The biggest common factor number is the GCF number.
So the greatest common factor 102,770,478 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 19/102, 23/770, 965/478

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 19/102, 23/770, 965/478?

Answer: LCM of Numerators as per given numbers 19/102, 23/770, 965/478 is

LCM of Numerators i.e. for 19,23,965 is 421705

GCF of denominators i.e. for 102,770,478 is 2.

Thus, LCM of Fractions is 421705/2.Finally, LCM of Fractions for 19/102, 23/770, 965/478 is 421705/2.