Least Common Multiple of 7509/617, 2805/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7509/617, 2805/858 quickly i.e. 7020915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7509/617, 2805/858 is 7020915.

LCM(7509/617, 2805/858) = 7020915

LCM of 7509/617, 2805/858

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 7509/617,2805/858

Given numbers are 7509/617,2805/858

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 7509,2805

Least Common Multiple of Numerators i.e. LCM of 7509,2805 is 7020915.

GCF of Denominators means GCF of 617,858 as per the given fractions.

GCF of 617,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7509,2805

LCM of Fractions 7509/617,2805/858 is 7020915

3 7509, 2805
2503, 935

∴ So the LCM of the given numbers is 3 x 2503 x 935 = 7020915

Least Common Multiple of 7509,2805 with GCF Formula

Least Common Multiple of 7509,2805 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 7509,2805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7509,2805) = 3

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

GCF(7509,2805) x common factors =3 x 1 = 3

LCM(7509,2805) = ( 7509 × 2805 ) / 3

LCM(7509,2805) = 21062745 / 3

LCM(7509,2805) = 7020915


Lets's calculate GCF of 617,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7020915/1

Therefore the LCM of Fractions 7509/617,2805/858 is 7020915

Greatest Common Factor of 617,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,858 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 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 617,858 . The biggest common factor number is the GCF number.
So the greatest common factor 617,858 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 7509/617, 2805/858

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 7509/617, 2805/858?

Answer: LCM of Numerators as per given numbers 7509/617, 2805/858 is

LCM of Numerators i.e. for 7509,2805 is 7020915

GCF of denominators i.e. for 617,858 is 1.

Thus, LCM of Fractions is 7020915.Finally, LCM of Fractions for 7509/617, 2805/858 is 7020915.