Least Common Multiple of 689/760, 6902/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/760, 6902/870 quickly i.e. 4755478/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/760, 6902/870 is 4755478/10.

LCM(689/760, 6902/870) = 4755478/10

LCM of 689/760, 6902/870

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 689/760,6902/870

Given numbers are 689/760,6902/870

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 689,6902

Least Common Multiple of Numerators i.e. LCM of 689,6902 is 4755478.

GCF of Denominators means GCF of 760,870 as per the given fractions.

GCF of 760,870 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,6902

LCM of Fractions 689/760,6902/870 is 4755478/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 4755478

Least Common Multiple of 689,6902 with GCF Formula

Least Common Multiple of 689,6902 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 689,6902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,6902) = 1

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

GCF(689,6902) x common factors =1 x 1 = 1

LCM(689,6902) = ( 689 × 6902 ) / 1

LCM(689,6902) = 4755478 / 1

LCM(689,6902) = 4755478


Lets's calculate GCF of 760,870

2 760, 870
5 380, 435
76, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4755478/10

Therefore the LCM of Fractions 689/760,6902/870 is 4755478/10

Greatest Common Factor of 760,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,870 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 760,870 . The biggest common factor number is the GCF number.
So the greatest common factor 760,870 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 689/760, 6902/870

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 689/760, 6902/870?

Answer: LCM of Numerators as per given numbers 689/760, 6902/870 is

LCM of Numerators i.e. for 689,6902 is 4755478

GCF of denominators i.e. for 760,870 is 10.

Thus, LCM of Fractions is 4755478/10.Finally, LCM of Fractions for 689/760, 6902/870 is 4755478/10.