Least Common Multiple of 378/716, 832/526, 720/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/716, 832/526, 720/764 quickly i.e. 393120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/716, 832/526, 720/764 is 393120.

LCM(378/716, 832/526, 720/764) = 393120

LCM of 378/716, 832/526, 720/764

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 378/716,832/526,720/764

Given numbers are 378/716,832/526,720/764

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 378,832,720

Least Common Multiple of Numerators i.e. LCM of 378,832,720 is 786240.

GCF of Denominators means GCF of 716,526,764 as per the given fractions.

GCF of 716,526,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,832,720

LCM of Fractions 378/716,832/526,720/764 is 393120

2 378, 832, 720
2 189, 416, 360
2 189, 208, 180
2 189, 104, 90
3 189, 52, 45
3 63, 52, 15
21, 52, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 21 x 52 x 5 = 786240

Least Common Multiple of 378,832,720 with GCF Formula

Least Common Multiple of 378,832,720 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 378,832,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,832,720) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(378,832,720) x common factors =2 x 144 = 288

LCM(378,832,720) = ( 378 × 832 × 720 ) / 288

LCM(378,832,720) = 226437120 / 288

LCM(378,832,720) = 786240


Lets's calculate GCF of 716,526,764

2 716, 526, 764
358, 263, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 786240/2

Therefore the LCM of Fractions 378/716,832/526,720/764 is 393120

Greatest Common Factor of 716,526,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,526,764 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 716,526,764 . The biggest common factor number is the GCF number.
So the greatest common factor 716,526,764 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 378/716, 832/526, 720/764

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 378/716, 832/526, 720/764?

Answer: LCM of Numerators as per given numbers 378/716, 832/526, 720/764 is

LCM of Numerators i.e. for 378,832,720 is 786240

GCF of denominators i.e. for 716,526,764 is 2.

Thus, LCM of Fractions is 393120.Finally, LCM of Fractions for 378/716, 832/526, 720/764 is 393120.