Least Common Multiple of 58/617, 2240/3445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/617, 2240/3445 quickly i.e. 64960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/617, 2240/3445 is 64960.

LCM(58/617, 2240/3445) = 64960

LCM of 58/617, 2240/3445

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 58/617,2240/3445

Given numbers are 58/617,2240/3445

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 58,2240

Least Common Multiple of Numerators i.e. LCM of 58,2240 is 64960.

GCF of Denominators means GCF of 617,3445 as per the given fractions.

GCF of 617,3445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,2240

LCM of Fractions 58/617,2240/3445 is 64960

2 58, 2240
29, 1120

∴ So the LCM of the given numbers is 2 x 29 x 1120 = 64960

Least Common Multiple of 58,2240 with GCF Formula

Least Common Multiple of 58,2240 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 58,2240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,2240) = 2

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

GCF(58,2240) x common factors =2 x 1 = 2

LCM(58,2240) = ( 58 × 2240 ) / 2

LCM(58,2240) = 129920 / 2

LCM(58,2240) = 64960


Lets's calculate GCF of 617,3445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64960/1

Therefore the LCM of Fractions 58/617,2240/3445 is 64960

Greatest Common Factor of 617,3445 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,3445 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1,5,13,53,65,265,689,3445

Greatest Common Factor

We found the factors 617,3445 . The biggest common factor number is the GCF number.
So the greatest common factor 617,3445 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 58/617, 2240/3445

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 58/617, 2240/3445?

Answer: LCM of Numerators as per given numbers 58/617, 2240/3445 is

LCM of Numerators i.e. for 58,2240 is 64960

GCF of denominators i.e. for 617,3445 is 1.

Thus, LCM of Fractions is 64960.Finally, LCM of Fractions for 58/617, 2240/3445 is 64960.