Least Common Multiple of 780/77, 913/52, 777/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 780/77, 913/52, 777/417 quickly i.e. 184444260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/77, 913/52, 777/417 is 184444260.

LCM(780/77, 913/52, 777/417) = 184444260

LCM of 780/77, 913/52, 777/417

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 780/77,913/52,777/417

Given numbers are 780/77,913/52,777/417

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 780,913,777

Least Common Multiple of Numerators i.e. LCM of 780,913,777 is 184444260.

GCF of Denominators means GCF of 77,52,417 as per the given fractions.

GCF of 77,52,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,913,777

LCM of Fractions 780/77,913/52,777/417 is 184444260

3 780, 913, 777
260, 913, 259

∴ So the LCM of the given numbers is 3 x 260 x 913 x 259 = 184444260

Least Common Multiple of 780,913,777 with GCF Formula

Least Common Multiple of 780,913,777 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 780,913,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,913,777) = 1

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

GCF(780,913,777) x common factors =1 x 3 = 3

LCM(780,913,777) = ( 780 × 913 × 777 ) / 3

LCM(780,913,777) = 553332780 / 3

LCM(780,913,777) = 184444260


Lets's calculate GCF of 77,52,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184444260/1

Therefore the LCM of Fractions 780/77,913/52,777/417 is 184444260

Greatest Common Factor of 77,52,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,52,417 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 77,52,417 . The biggest common factor number is the GCF number.
So the greatest common factor 77,52,417 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 780/77, 913/52, 777/417

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 780/77, 913/52, 777/417?

Answer: LCM of Numerators as per given numbers 780/77, 913/52, 777/417 is

LCM of Numerators i.e. for 780,913,777 is 184444260

GCF of denominators i.e. for 77,52,417 is 1.

Thus, LCM of Fractions is 184444260.Finally, LCM of Fractions for 780/77, 913/52, 777/417 is 184444260.