Least Common Multiple of 572/70, 550/5602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 572/70, 550/5602 quickly i.e. 7150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/70, 550/5602 is 7150.

LCM(572/70, 550/5602) = 7150

LCM of 572/70, 550/5602

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 572/70,550/5602

Given numbers are 572/70,550/5602

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 572,550

Least Common Multiple of Numerators i.e. LCM of 572,550 is 14300.

GCF of Denominators means GCF of 70,5602 as per the given fractions.

GCF of 70,5602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,550

LCM of Fractions 572/70,550/5602 is 7150

2 572, 550
11 286, 275
26, 25

∴ So the LCM of the given numbers is 2 x 11 x 26 x 25 = 14300

Least Common Multiple of 572,550 with GCF Formula

Least Common Multiple of 572,550 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 572,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,550) = 22

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

GCF(572,550) x common factors =22 x 1 = 22

LCM(572,550) = ( 572 × 550 ) / 22

LCM(572,550) = 314600 / 22

LCM(572,550) = 14300


Lets's calculate GCF of 70,5602

2 70, 5602
35, 2801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14300/2

Therefore the LCM of Fractions 572/70,550/5602 is 7150

Greatest Common Factor of 70,5602 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5602 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1,2,2801,5602

Greatest Common Factor

We found the factors 70,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5602 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 572/70, 550/5602

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 572/70, 550/5602?

Answer: LCM of Numerators as per given numbers 572/70, 550/5602 is

LCM of Numerators i.e. for 572,550 is 14300

GCF of denominators i.e. for 70,5602 is 2.

Thus, LCM of Fractions is 7150.Finally, LCM of Fractions for 572/70, 550/5602 is 7150.