Least Common Multiple of 629/55, 917/1585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 629/55, 917/1585 quickly i.e. 576793/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 629/55, 917/1585 is 576793/5.

LCM(629/55, 917/1585) = 576793/5

LCM of 629/55, 917/1585

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 629/55,917/1585

Given numbers are 629/55,917/1585

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 629,917

Least Common Multiple of Numerators i.e. LCM of 629,917 is 576793.

GCF of Denominators means GCF of 55,1585 as per the given fractions.

GCF of 55,1585 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 629,917

LCM of Fractions 629/55,917/1585 is 576793/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 576793

Least Common Multiple of 629,917 with GCF Formula

Least Common Multiple of 629,917 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 629,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,917) = 1

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

GCF(629,917) x common factors =1 x 1 = 1

LCM(629,917) = ( 629 × 917 ) / 1

LCM(629,917) = 576793 / 1

LCM(629,917) = 576793


Lets's calculate GCF of 55,1585

5 55, 1585
11, 317

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576793/5

Therefore the LCM of Fractions 629/55,917/1585 is 576793/5

Greatest Common Factor of 55,1585 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,1585 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors 55,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 55,1585 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 629/55, 917/1585

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 629/55, 917/1585?

Answer: LCM of Numerators as per given numbers 629/55, 917/1585 is

LCM of Numerators i.e. for 629,917 is 576793

GCF of denominators i.e. for 55,1585 is 5.

Thus, LCM of Fractions is 576793/5.Finally, LCM of Fractions for 629/55, 917/1585 is 576793/5.