Least Common Multiple of 702/817, 2827/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 702/817, 2827/470 quickly i.e. 1984554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/817, 2827/470 is 1984554.

LCM(702/817, 2827/470) = 1984554

LCM of 702/817, 2827/470

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 702/817,2827/470

Given numbers are 702/817,2827/470

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 702,2827

Least Common Multiple of Numerators i.e. LCM of 702,2827 is 1984554.

GCF of Denominators means GCF of 817,470 as per the given fractions.

GCF of 817,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,2827

LCM of Fractions 702/817,2827/470 is 1984554

Given numbers has no common factors except 1. So, there LCM is their product i.e 1984554

Least Common Multiple of 702,2827 with GCF Formula

Least Common Multiple of 702,2827 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 702,2827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,2827) = 1

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

GCF(702,2827) x common factors =1 x 1 = 1

LCM(702,2827) = ( 702 × 2827 ) / 1

LCM(702,2827) = 1984554 / 1

LCM(702,2827) = 1984554


Lets's calculate GCF of 817,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1984554/1

Therefore the LCM of Fractions 702/817,2827/470 is 1984554

Greatest Common Factor of 817,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,470 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 817,470 . The biggest common factor number is the GCF number.
So the greatest common factor 817,470 is 1.


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 702/817, 2827/470

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 702/817, 2827/470?

Answer: LCM of Numerators as per given numbers 702/817, 2827/470 is

LCM of Numerators i.e. for 702,2827 is 1984554

GCF of denominators i.e. for 817,470 is 1.

Thus, LCM of Fractions is 1984554.Finally, LCM of Fractions for 702/817, 2827/470 is 1984554.