Least Common Multiple of 30/22, 575/70, 686/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/22, 575/70, 686/700 quickly i.e. 591675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/22, 575/70, 686/700 is 591675.

LCM(30/22, 575/70, 686/700) = 591675

LCM of 30/22, 575/70, 686/700

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 30/22,575/70,686/700

Given numbers are 30/22,575/70,686/700

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 30,575,686

Least Common Multiple of Numerators i.e. LCM of 30,575,686 is 1183350.

GCF of Denominators means GCF of 22,70,700 as per the given fractions.

GCF of 22,70,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,575,686

LCM of Fractions 30/22,575/70,686/700 is 591675

2 30, 575, 686
5 15, 575, 343
3, 115, 343

∴ So the LCM of the given numbers is 2 x 5 x 3 x 115 x 343 = 1183350

Least Common Multiple of 30,575,686 with GCF Formula

Least Common Multiple of 30,575,686 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 30,575,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,575,686) = 1

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

GCF(30,575,686) x common factors =1 x 10 = 10

LCM(30,575,686) = ( 30 × 575 × 686 ) / 10

LCM(30,575,686) = 11833500 / 10

LCM(30,575,686) = 1183350


Lets's calculate GCF of 22,70,700

2 22, 70, 700
11, 35, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1183350/2

Therefore the LCM of Fractions 30/22,575/70,686/700 is 591675

Greatest Common Factor of 22,70,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,70,700 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 22,70,700 . The biggest common factor number is the GCF number.
So the greatest common factor 22,70,700 is 2.


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 30/22, 575/70, 686/700

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 30/22, 575/70, 686/700?

Answer: LCM of Numerators as per given numbers 30/22, 575/70, 686/700 is

LCM of Numerators i.e. for 30,575,686 is 1183350

GCF of denominators i.e. for 22,70,700 is 2.

Thus, LCM of Fractions is 591675.Finally, LCM of Fractions for 30/22, 575/70, 686/700 is 591675.