Least Common Multiple of 378/42, 346/78, 804/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/42, 346/78, 804/774 quickly i.e. 1460466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/42, 346/78, 804/774 is 1460466.

LCM(378/42, 346/78, 804/774) = 1460466

LCM of 378/42, 346/78, 804/774

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 378/42,346/78,804/774

Given numbers are 378/42,346/78,804/774

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 378,346,804

Least Common Multiple of Numerators i.e. LCM of 378,346,804 is 8762796.

GCF of Denominators means GCF of 42,78,774 as per the given fractions.

GCF of 42,78,774 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,346,804

LCM of Fractions 378/42,346/78,804/774 is 1460466

2 378, 346, 804
3 189, 173, 402
63, 173, 134

∴ So the LCM of the given numbers is 2 x 3 x 63 x 173 x 134 = 8762796

Least Common Multiple of 378,346,804 with GCF Formula

Least Common Multiple of 378,346,804 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 378,346,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,346,804) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(378,346,804) x common factors =2 x 6 = 12

LCM(378,346,804) = ( 378 × 346 × 804 ) / 12

LCM(378,346,804) = 105153552 / 12

LCM(378,346,804) = 8762796


Lets's calculate GCF of 42,78,774

2 42, 78, 774
3 21, 39, 387
7, 13, 129

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8762796/6

Therefore the LCM of Fractions 378/42,346/78,804/774 is 1460466

Greatest Common Factor of 42,78,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,78,774 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 42,78,774 . The biggest common factor number is the GCF number.
So the greatest common factor 42,78,774 is 6.


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 378/42, 346/78, 804/774

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 378/42, 346/78, 804/774?

Answer: LCM of Numerators as per given numbers 378/42, 346/78, 804/774 is

LCM of Numerators i.e. for 378,346,804 is 8762796

GCF of denominators i.e. for 42,78,774 is 6.

Thus, LCM of Fractions is 1460466.Finally, LCM of Fractions for 378/42, 346/78, 804/774 is 1460466.