Least Common Multiple of 47/84, 30/90, 15/84, 70/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/84, 30/90, 15/84, 70/553 quickly i.e. 9870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/84, 30/90, 15/84, 70/553 is 9870.

LCM(47/84, 30/90, 15/84, 70/553) = 9870

LCM of 47/84, 30/90, 15/84, 70/553

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 47/84,30/90,15/84,70/553

Given numbers are 47/84,30/90,15/84,70/553

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 47,30,15,70

Least Common Multiple of Numerators i.e. LCM of 47,30,15,70 is 9870.

GCF of Denominators means GCF of 84,90,84,553 as per the given fractions.

GCF of 84,90,84,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,30,15,70

LCM of Fractions 47/84,30/90,15/84,70/553 is 9870

2 47, 30, 15, 70
3 47, 15, 15, 35
5 47, 5, 5, 35
47, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 1 x 1 x 7 = 9870

Least Common Multiple of 47,30,15,70 with GCF Formula

Least Common Multiple of 47,30,15,70 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 47,30,15,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,30,15,70) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(47,30,15,70) x common factors =1 x 150 = 150

LCM(47,30,15,70) = ( 47 × 30 × 15 × 70 ) / 150

LCM(47,30,15,70) = 1480500 / 150

LCM(47,30,15,70) = 9870


Lets's calculate GCF of 84,90,84,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9870/1

Therefore the LCM of Fractions 47/84,30/90,15/84,70/553 is 9870

Greatest Common Factor of 84,90,84,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,90,84,553 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 84,90,84,553 . The biggest common factor number is the GCF number.
So the greatest common factor 84,90,84,553 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 47/84, 30/90, 15/84, 70/553

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 47/84, 30/90, 15/84, 70/553?

Answer: LCM of Numerators as per given numbers 47/84, 30/90, 15/84, 70/553 is

LCM of Numerators i.e. for 47,30,15,70 is 9870

GCF of denominators i.e. for 84,90,84,553 is 1.

Thus, LCM of Fractions is 9870.Finally, LCM of Fractions for 47/84, 30/90, 15/84, 70/553 is 9870.