Least Common Multiple of 35/617, 224/155, 115/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/617, 224/155, 115/791 quickly i.e. 25760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/617, 224/155, 115/791 is 25760.

LCM(35/617, 224/155, 115/791) = 25760

LCM of 35/617, 224/155, 115/791

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 35/617,224/155,115/791

Given numbers are 35/617,224/155,115/791

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 35,224,115

Least Common Multiple of Numerators i.e. LCM of 35,224,115 is 25760.

GCF of Denominators means GCF of 617,155,791 as per the given fractions.

GCF of 617,155,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,224,115

LCM of Fractions 35/617,224/155,115/791 is 25760

5 35, 224, 115
7 7, 224, 23
1, 32, 23

∴ So the LCM of the given numbers is 5 x 7 x 1 x 32 x 23 = 25760

Least Common Multiple of 35,224,115 with GCF Formula

Least Common Multiple of 35,224,115 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 35,224,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,224,115) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(35,224,115) x common factors =1 x 35 = 35

LCM(35,224,115) = ( 35 × 224 × 115 ) / 35

LCM(35,224,115) = 901600 / 35

LCM(35,224,115) = 25760


Lets's calculate GCF of 617,155,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25760/1

Therefore the LCM of Fractions 35/617,224/155,115/791 is 25760

Greatest Common Factor of 617,155,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,155,791 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 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 617,155,791 . The biggest common factor number is the GCF number.
So the greatest common factor 617,155,791 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 35/617, 224/155, 115/791

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 35/617, 224/155, 115/791?

Answer: LCM of Numerators as per given numbers 35/617, 224/155, 115/791 is

LCM of Numerators i.e. for 35,224,115 is 25760

GCF of denominators i.e. for 617,155,791 is 1.

Thus, LCM of Fractions is 25760.Finally, LCM of Fractions for 35/617, 224/155, 115/791 is 25760.