Least Common Multiple of 70/445, 90/534, 798/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/445, 90/534, 798/880 quickly i.e. 11970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/445, 90/534, 798/880 is 11970.

LCM(70/445, 90/534, 798/880) = 11970

LCM of 70/445, 90/534, 798/880

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 70/445,90/534,798/880

Given numbers are 70/445,90/534,798/880

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 70,90,798

Least Common Multiple of Numerators i.e. LCM of 70,90,798 is 11970.

GCF of Denominators means GCF of 445,534,880 as per the given fractions.

GCF of 445,534,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,90,798

LCM of Fractions 70/445,90/534,798/880 is 11970

2 70, 90, 798
3 35, 45, 399
5 35, 15, 133
7 7, 3, 133
1, 3, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 3 x 19 = 11970

Least Common Multiple of 70,90,798 with GCF Formula

Least Common Multiple of 70,90,798 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 70,90,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,90,798) = 2

common factors(in case of two or more numbers have common factors) = 210

GCF(70,90,798) x common factors =2 x 210 = 420

LCM(70,90,798) = ( 70 × 90 × 798 ) / 420

LCM(70,90,798) = 5027400 / 420

LCM(70,90,798) = 11970


Lets's calculate GCF of 445,534,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970/1

Therefore the LCM of Fractions 70/445,90/534,798/880 is 11970

Greatest Common Factor of 445,534,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,534,880 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 445,534,880 . The biggest common factor number is the GCF number.
So the greatest common factor 445,534,880 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 70/445, 90/534, 798/880

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 70/445, 90/534, 798/880?

Answer: LCM of Numerators as per given numbers 70/445, 90/534, 798/880 is

LCM of Numerators i.e. for 70,90,798 is 11970

GCF of denominators i.e. for 445,534,880 is 1.

Thus, LCM of Fractions is 11970.Finally, LCM of Fractions for 70/445, 90/534, 798/880 is 11970.