Least Common Multiple of 870/34, 317/45, 707/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/34, 317/45, 707/882 quickly i.e. 194983530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/34, 317/45, 707/882 is 194983530.

LCM(870/34, 317/45, 707/882) = 194983530

LCM of 870/34, 317/45, 707/882

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 870/34,317/45,707/882

Given numbers are 870/34,317/45,707/882

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 870,317,707

Least Common Multiple of Numerators i.e. LCM of 870,317,707 is 194983530.

GCF of Denominators means GCF of 34,45,882 as per the given fractions.

GCF of 34,45,882 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,317,707

LCM of Fractions 870/34,317/45,707/882 is 194983530

Given numbers has no common factors except 1. So, there LCM is their product i.e 194983530

Least Common Multiple of 870,317,707 with GCF Formula

Least Common Multiple of 870,317,707 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 870,317,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,317,707) = 1

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

GCF(870,317,707) x common factors =1 x 1 = 1

LCM(870,317,707) = ( 870 × 317 × 707 ) / 1

LCM(870,317,707) = 194983530 / 1

LCM(870,317,707) = 194983530


Lets's calculate GCF of 34,45,882

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194983530/1

Therefore the LCM of Fractions 870/34,317/45,707/882 is 194983530

Greatest Common Factor of 34,45,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,45,882 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 34,45,882 . The biggest common factor number is the GCF number.
So the greatest common factor 34,45,882 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 870/34, 317/45, 707/882

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 870/34, 317/45, 707/882?

Answer: LCM of Numerators as per given numbers 870/34, 317/45, 707/882 is

LCM of Numerators i.e. for 870,317,707 is 194983530

GCF of denominators i.e. for 34,45,882 is 1.

Thus, LCM of Fractions is 194983530.Finally, LCM of Fractions for 870/34, 317/45, 707/882 is 194983530.