Least Common Multiple of 780/365, 938/830, 798/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/365, 938/830, 798/804 quickly i.e. 6950580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/365, 938/830, 798/804 is 6950580.

LCM(780/365, 938/830, 798/804) = 6950580

LCM of 780/365, 938/830, 798/804

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 780/365,938/830,798/804

Given numbers are 780/365,938/830,798/804

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 780,938,798

Least Common Multiple of Numerators i.e. LCM of 780,938,798 is 6950580.

GCF of Denominators means GCF of 365,830,804 as per the given fractions.

GCF of 365,830,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,938,798

LCM of Fractions 780/365,938/830,798/804 is 6950580

2 780, 938, 798
3 390, 469, 399
7 130, 469, 133
130, 67, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 130 x 67 x 19 = 6950580

Least Common Multiple of 780,938,798 with GCF Formula

Least Common Multiple of 780,938,798 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 780,938,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,938,798) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(780,938,798) x common factors =2 x 42 = 84

LCM(780,938,798) = ( 780 × 938 × 798 ) / 84

LCM(780,938,798) = 583848720 / 84

LCM(780,938,798) = 6950580


Lets's calculate GCF of 365,830,804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6950580/1

Therefore the LCM of Fractions 780/365,938/830,798/804 is 6950580

Greatest Common Factor of 365,830,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,830,804 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 365,830,804 . The biggest common factor number is the GCF number.
So the greatest common factor 365,830,804 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 780/365, 938/830, 798/804

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 780/365, 938/830, 798/804?

Answer: LCM of Numerators as per given numbers 780/365, 938/830, 798/804 is

LCM of Numerators i.e. for 780,938,798 is 6950580

GCF of denominators i.e. for 365,830,804 is 1.

Thus, LCM of Fractions is 6950580.Finally, LCM of Fractions for 780/365, 938/830, 798/804 is 6950580.