Least Common Multiple of 35/275, 9417/4310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/275, 9417/4310 quickly i.e. 65919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/275, 9417/4310 is 65919.

LCM(35/275, 9417/4310) = 65919

LCM of 35/275, 9417/4310

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 35/275,9417/4310

Given numbers are 35/275,9417/4310

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 35,9417

Least Common Multiple of Numerators i.e. LCM of 35,9417 is 329595.

GCF of Denominators means GCF of 275,4310 as per the given fractions.

GCF of 275,4310 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,9417

LCM of Fractions 35/275,9417/4310 is 65919

Given numbers has no common factors except 1. So, there LCM is their product i.e 329595

Least Common Multiple of 35,9417 with GCF Formula

Least Common Multiple of 35,9417 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 35,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,9417) = 1

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

GCF(35,9417) x common factors =1 x 1 = 1

LCM(35,9417) = ( 35 × 9417 ) / 1

LCM(35,9417) = 329595 / 1

LCM(35,9417) = 329595


Lets's calculate GCF of 275,4310

5 275, 4310
55, 862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329595/5

Therefore the LCM of Fractions 35/275,9417/4310 is 65919

Greatest Common Factor of 275,4310 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,4310 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors 275,4310 . The biggest common factor number is the GCF number.
So the greatest common factor 275,4310 is 5.


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 35/275, 9417/4310

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 35/275, 9417/4310?

Answer: LCM of Numerators as per given numbers 35/275, 9417/4310 is

LCM of Numerators i.e. for 35,9417 is 329595

GCF of denominators i.e. for 275,4310 is 5.

Thus, LCM of Fractions is 65919.Finally, LCM of Fractions for 35/275, 9417/4310 is 65919.