Least Common Multiple of 417/77, 431/2664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/77, 431/2664 quickly i.e. 179727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/77, 431/2664 is 179727.

LCM(417/77, 431/2664) = 179727

LCM of 417/77, 431/2664

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 417/77,431/2664

Given numbers are 417/77,431/2664

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 417,431

Least Common Multiple of Numerators i.e. LCM of 417,431 is 179727.

GCF of Denominators means GCF of 77,2664 as per the given fractions.

GCF of 77,2664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,431

LCM of Fractions 417/77,431/2664 is 179727

Given numbers has no common factors except 1. So, there LCM is their product i.e 179727

Least Common Multiple of 417,431 with GCF Formula

Least Common Multiple of 417,431 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 417,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(417,431) x common factors =1 x 1 = 1

LCM(417,431) = ( 417 × 431 ) / 1

LCM(417,431) = 179727 / 1

LCM(417,431) = 179727


Lets's calculate GCF of 77,2664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179727/1

Therefore the LCM of Fractions 417/77,431/2664 is 179727

Greatest Common Factor of 77,2664 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,2664 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 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664

Greatest Common Factor

We found the factors 77,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 77,2664 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 417/77, 431/2664

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 417/77, 431/2664?

Answer: LCM of Numerators as per given numbers 417/77, 431/2664 is

LCM of Numerators i.e. for 417,431 is 179727

GCF of denominators i.e. for 77,2664 is 1.

Thus, LCM of Fractions is 179727.Finally, LCM of Fractions for 417/77, 431/2664 is 179727.