Least Common Multiple of 77/407, 550/187, 580/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/407, 550/187, 580/966 quickly i.e. 223300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/407, 550/187, 580/966 is 223300.

LCM(77/407, 550/187, 580/966) = 223300

LCM of 77/407, 550/187, 580/966

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 77/407,550/187,580/966

Given numbers are 77/407,550/187,580/966

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 77,550,580

Least Common Multiple of Numerators i.e. LCM of 77,550,580 is 223300.

GCF of Denominators means GCF of 407,187,966 as per the given fractions.

GCF of 407,187,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,550,580

LCM of Fractions 77/407,550/187,580/966 is 223300

2 77, 550, 580
5 77, 275, 290
11 77, 55, 58
7, 5, 58

∴ So the LCM of the given numbers is 2 x 5 x 11 x 7 x 5 x 58 = 223300

Least Common Multiple of 77,550,580 with GCF Formula

Least Common Multiple of 77,550,580 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 77,550,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,550,580) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(77,550,580) x common factors =1 x 110 = 110

LCM(77,550,580) = ( 77 × 550 × 580 ) / 110

LCM(77,550,580) = 24563000 / 110

LCM(77,550,580) = 223300


Lets's calculate GCF of 407,187,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223300/1

Therefore the LCM of Fractions 77/407,550/187,580/966 is 223300

Greatest Common Factor of 407,187,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,187,966 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 407,187,966 . The biggest common factor number is the GCF number.
So the greatest common factor 407,187,966 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 77/407, 550/187, 580/966

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 77/407, 550/187, 580/966?

Answer: LCM of Numerators as per given numbers 77/407, 550/187, 580/966 is

LCM of Numerators i.e. for 77,550,580 is 223300

GCF of denominators i.e. for 407,187,966 is 1.

Thus, LCM of Fractions is 223300.Finally, LCM of Fractions for 77/407, 550/187, 580/966 is 223300.