Least Common Multiple of 689/51, 870/8702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/51, 870/8702 quickly i.e. 599430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/51, 870/8702 is 599430.

LCM(689/51, 870/8702) = 599430

LCM of 689/51, 870/8702

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 689/51,870/8702

Given numbers are 689/51,870/8702

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 689,870

Least Common Multiple of Numerators i.e. LCM of 689,870 is 599430.

GCF of Denominators means GCF of 51,8702 as per the given fractions.

GCF of 51,8702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,870

LCM of Fractions 689/51,870/8702 is 599430

Given numbers has no common factors except 1. So, there LCM is their product i.e 599430

Least Common Multiple of 689,870 with GCF Formula

Least Common Multiple of 689,870 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 689,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,870) = 1

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

GCF(689,870) x common factors =1 x 1 = 1

LCM(689,870) = ( 689 × 870 ) / 1

LCM(689,870) = 599430 / 1

LCM(689,870) = 599430


Lets's calculate GCF of 51,8702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599430/1

Therefore the LCM of Fractions 689/51,870/8702 is 599430

Greatest Common Factor of 51,8702 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,8702 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1,2,19,38,229,458,4351,8702

Greatest Common Factor

We found the factors 51,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 51,8702 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 689/51, 870/8702

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 689/51, 870/8702?

Answer: LCM of Numerators as per given numbers 689/51, 870/8702 is

LCM of Numerators i.e. for 689,870 is 599430

GCF of denominators i.e. for 51,8702 is 1.

Thus, LCM of Fractions is 599430.Finally, LCM of Fractions for 689/51, 870/8702 is 599430.