Least Common Multiple of 70/72, 90/11, 562/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/72, 90/11, 562/452 quickly i.e. 177030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/72, 90/11, 562/452 is 177030.

LCM(70/72, 90/11, 562/452) = 177030

LCM of 70/72, 90/11, 562/452

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 70/72,90/11,562/452

Given numbers are 70/72,90/11,562/452

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 70,90,562

Least Common Multiple of Numerators i.e. LCM of 70,90,562 is 177030.

GCF of Denominators means GCF of 72,11,452 as per the given fractions.

GCF of 72,11,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,90,562

LCM of Fractions 70/72,90/11,562/452 is 177030

2 70, 90, 562
5 35, 45, 281
7, 9, 281

∴ So the LCM of the given numbers is 2 x 5 x 7 x 9 x 281 = 177030

Least Common Multiple of 70,90,562 with GCF Formula

Least Common Multiple of 70,90,562 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 70,90,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,90,562) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(70,90,562) x common factors =2 x 10 = 20

LCM(70,90,562) = ( 70 × 90 × 562 ) / 20

LCM(70,90,562) = 3540600 / 20

LCM(70,90,562) = 177030


Lets's calculate GCF of 72,11,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177030/1

Therefore the LCM of Fractions 70/72,90/11,562/452 is 177030

Greatest Common Factor of 72,11,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,11,452 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 72,11,452 . The biggest common factor number is the GCF number.
So the greatest common factor 72,11,452 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 70/72, 90/11, 562/452

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 70/72, 90/11, 562/452?

Answer: LCM of Numerators as per given numbers 70/72, 90/11, 562/452 is

LCM of Numerators i.e. for 70,90,562 is 177030

GCF of denominators i.e. for 72,11,452 is 1.

Thus, LCM of Fractions is 177030.Finally, LCM of Fractions for 70/72, 90/11, 562/452 is 177030.