Least Common Multiple of 217/572, 4092/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/572, 4092/700 quickly i.e. 7161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/572, 4092/700 is 7161.

LCM(217/572, 4092/700) = 7161

LCM of 217/572, 4092/700

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 217/572,4092/700

Given numbers are 217/572,4092/700

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 217,4092

Least Common Multiple of Numerators i.e. LCM of 217,4092 is 28644.

GCF of Denominators means GCF of 572,700 as per the given fractions.

GCF of 572,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,4092

LCM of Fractions 217/572,4092/700 is 7161

31 217, 4092
7, 132

∴ So the LCM of the given numbers is 31 x 7 x 132 = 28644

Least Common Multiple of 217,4092 with GCF Formula

Least Common Multiple of 217,4092 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 217,4092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,4092) = 31

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

GCF(217,4092) x common factors =31 x 1 = 31

LCM(217,4092) = ( 217 × 4092 ) / 31

LCM(217,4092) = 887964 / 31

LCM(217,4092) = 28644


Lets's calculate GCF of 572,700

2 572, 700
2 286, 350
143, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28644/4

Therefore the LCM of Fractions 217/572,4092/700 is 7161

Greatest Common Factor of 572,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,700 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

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 572,700 . The biggest common factor number is the GCF number.
So the greatest common factor 572,700 is 4.


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 217/572, 4092/700

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 217/572, 4092/700?

Answer: LCM of Numerators as per given numbers 217/572, 4092/700 is

LCM of Numerators i.e. for 217,4092 is 28644

GCF of denominators i.e. for 572,700 is 4.

Thus, LCM of Fractions is 7161.Finally, LCM of Fractions for 217/572, 4092/700 is 7161.