Least Common Multiple of 778/30, 821/78, 469/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 778/30, 821/78, 469/370 quickly i.e. 149784061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/30, 821/78, 469/370 is 149784061.

LCM(778/30, 821/78, 469/370) = 149784061

LCM of 778/30, 821/78, 469/370

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 778/30,821/78,469/370

Given numbers are 778/30,821/78,469/370

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 778,821,469

Least Common Multiple of Numerators i.e. LCM of 778,821,469 is 299568122.

GCF of Denominators means GCF of 30,78,370 as per the given fractions.

GCF of 30,78,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,821,469

LCM of Fractions 778/30,821/78,469/370 is 149784061

Given numbers has no common factors except 1. So, there LCM is their product i.e 299568122

Least Common Multiple of 778,821,469 with GCF Formula

Least Common Multiple of 778,821,469 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 778,821,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,821,469) = 1

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

GCF(778,821,469) x common factors =1 x 1 = 1

LCM(778,821,469) = ( 778 × 821 × 469 ) / 1

LCM(778,821,469) = 299568122 / 1

LCM(778,821,469) = 299568122


Lets's calculate GCF of 30,78,370

2 30, 78, 370
15, 39, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299568122/2

Therefore the LCM of Fractions 778/30,821/78,469/370 is 149784061

Greatest Common Factor of 30,78,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,78,370 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 30,78,370 . The biggest common factor number is the GCF number.
So the greatest common factor 30,78,370 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 778/30, 821/78, 469/370

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 778/30, 821/78, 469/370?

Answer: LCM of Numerators as per given numbers 778/30, 821/78, 469/370 is

LCM of Numerators i.e. for 778,821,469 is 299568122

GCF of denominators i.e. for 30,78,370 is 2.

Thus, LCM of Fractions is 149784061.Finally, LCM of Fractions for 778/30, 821/78, 469/370 is 149784061.