Least Common Multiple of 69/946, 800/139, 777/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/946, 800/139, 777/774 quickly i.e. 14296800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/946, 800/139, 777/774 is 14296800.

LCM(69/946, 800/139, 777/774) = 14296800

LCM of 69/946, 800/139, 777/774

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 69/946,800/139,777/774

Given numbers are 69/946,800/139,777/774

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 69,800,777

Least Common Multiple of Numerators i.e. LCM of 69,800,777 is 14296800.

GCF of Denominators means GCF of 946,139,774 as per the given fractions.

GCF of 946,139,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,800,777

LCM of Fractions 69/946,800/139,777/774 is 14296800

3 69, 800, 777
23, 800, 259

∴ So the LCM of the given numbers is 3 x 23 x 800 x 259 = 14296800

Least Common Multiple of 69,800,777 with GCF Formula

Least Common Multiple of 69,800,777 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 69,800,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,800,777) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,800,777) x common factors =1 x 3 = 3

LCM(69,800,777) = ( 69 × 800 × 777 ) / 3

LCM(69,800,777) = 42890400 / 3

LCM(69,800,777) = 14296800


Lets's calculate GCF of 946,139,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14296800/1

Therefore the LCM of Fractions 69/946,800/139,777/774 is 14296800

Greatest Common Factor of 946,139,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,139,774 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

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 946,139,774 . The biggest common factor number is the GCF number.
So the greatest common factor 946,139,774 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 69/946, 800/139, 777/774

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 69/946, 800/139, 777/774?

Answer: LCM of Numerators as per given numbers 69/946, 800/139, 777/774 is

LCM of Numerators i.e. for 69,800,777 is 14296800

GCF of denominators i.e. for 946,139,774 is 1.

Thus, LCM of Fractions is 14296800.Finally, LCM of Fractions for 69/946, 800/139, 777/774 is 14296800.