Least Common Multiple of 846/69, 639/8509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 846/69, 639/8509 quickly i.e. 60066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/69, 639/8509 is 60066.

LCM(846/69, 639/8509) = 60066

LCM of 846/69, 639/8509

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 846/69,639/8509

Given numbers are 846/69,639/8509

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 846,639

Least Common Multiple of Numerators i.e. LCM of 846,639 is 60066.

GCF of Denominators means GCF of 69,8509 as per the given fractions.

GCF of 69,8509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,639

LCM of Fractions 846/69,639/8509 is 60066

3 846, 639
3 282, 213
94, 71

∴ So the LCM of the given numbers is 3 x 3 x 94 x 71 = 60066

Least Common Multiple of 846,639 with GCF Formula

Least Common Multiple of 846,639 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 846,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,639) = 9

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

GCF(846,639) x common factors =9 x 1 = 9

LCM(846,639) = ( 846 × 639 ) / 9

LCM(846,639) = 540594 / 9

LCM(846,639) = 60066


Lets's calculate GCF of 69,8509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60066/1

Therefore the LCM of Fractions 846/69,639/8509 is 60066

Greatest Common Factor of 69,8509 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,8509 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1,67,127,8509

Greatest Common Factor

We found the factors 69,8509 . The biggest common factor number is the GCF number.
So the greatest common factor 69,8509 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 846/69, 639/8509

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 846/69, 639/8509?

Answer: LCM of Numerators as per given numbers 846/69, 639/8509 is

LCM of Numerators i.e. for 846,639 is 60066

GCF of denominators i.e. for 69,8509 is 1.

Thus, LCM of Fractions is 60066.Finally, LCM of Fractions for 846/69, 639/8509 is 60066.