Least Common Multiple of 689/860, 4102/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/860, 4102/490 quickly i.e. 2826278/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/860, 4102/490 is 2826278/10.

LCM(689/860, 4102/490) = 2826278/10

LCM of 689/860, 4102/490

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 689/860,4102/490

Given numbers are 689/860,4102/490

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 689,4102

Least Common Multiple of Numerators i.e. LCM of 689,4102 is 2826278.

GCF of Denominators means GCF of 860,490 as per the given fractions.

GCF of 860,490 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,4102

LCM of Fractions 689/860,4102/490 is 2826278/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 2826278

Least Common Multiple of 689,4102 with GCF Formula

Least Common Multiple of 689,4102 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 689,4102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,4102) = 1

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

GCF(689,4102) x common factors =1 x 1 = 1

LCM(689,4102) = ( 689 × 4102 ) / 1

LCM(689,4102) = 2826278 / 1

LCM(689,4102) = 2826278


Lets's calculate GCF of 860,490

2 860, 490
5 430, 245
86, 49

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2826278/10

Therefore the LCM of Fractions 689/860,4102/490 is 2826278/10

Greatest Common Factor of 860,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,490 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 860,490 . The biggest common factor number is the GCF number.
So the greatest common factor 860,490 is 10.


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 689/860, 4102/490

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 689/860, 4102/490?

Answer: LCM of Numerators as per given numbers 689/860, 4102/490 is

LCM of Numerators i.e. for 689,4102 is 2826278

GCF of denominators i.e. for 860,490 is 10.

Thus, LCM of Fractions is 2826278/10.Finally, LCM of Fractions for 689/860, 4102/490 is 2826278/10.