Least Common Multiple of 870/852, 969/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/852, 969/530 quickly i.e. 140505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/852, 969/530 is 140505.

LCM(870/852, 969/530) = 140505

LCM of 870/852, 969/530

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 870/852,969/530

Given numbers are 870/852,969/530

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 870,969

Least Common Multiple of Numerators i.e. LCM of 870,969 is 281010.

GCF of Denominators means GCF of 852,530 as per the given fractions.

GCF of 852,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,969

LCM of Fractions 870/852,969/530 is 140505

3 870, 969
290, 323

∴ So the LCM of the given numbers is 3 x 290 x 323 = 281010

Least Common Multiple of 870,969 with GCF Formula

Least Common Multiple of 870,969 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 870,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,969) = 3

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

GCF(870,969) x common factors =3 x 1 = 3

LCM(870,969) = ( 870 × 969 ) / 3

LCM(870,969) = 843030 / 3

LCM(870,969) = 281010


Lets's calculate GCF of 852,530

2 852, 530
426, 265

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281010/2

Therefore the LCM of Fractions 870/852,969/530 is 140505

Greatest Common Factor of 852,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,530 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 852,530 . The biggest common factor number is the GCF number.
So the greatest common factor 852,530 is 2.


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 870/852, 969/530

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 870/852, 969/530?

Answer: LCM of Numerators as per given numbers 870/852, 969/530 is

LCM of Numerators i.e. for 870,969 is 281010

GCF of denominators i.e. for 852,530 is 2.

Thus, LCM of Fractions is 140505.Finally, LCM of Fractions for 870/852, 969/530 is 140505.