Least Common Multiple of 217/74, 695/42, 680/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/74, 695/42, 680/596 quickly i.e. 10255420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/74, 695/42, 680/596 is 10255420.

LCM(217/74, 695/42, 680/596) = 10255420

LCM of 217/74, 695/42, 680/596

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 217/74,695/42,680/596

Given numbers are 217/74,695/42,680/596

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 217,695,680

Least Common Multiple of Numerators i.e. LCM of 217,695,680 is 20510840.

GCF of Denominators means GCF of 74,42,596 as per the given fractions.

GCF of 74,42,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,695,680

LCM of Fractions 217/74,695/42,680/596 is 10255420

5 217, 695, 680
217, 139, 136

∴ So the LCM of the given numbers is 5 x 217 x 139 x 136 = 20510840

Least Common Multiple of 217,695,680 with GCF Formula

Least Common Multiple of 217,695,680 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 217,695,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,695,680) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(217,695,680) x common factors =1 x 5 = 5

LCM(217,695,680) = ( 217 × 695 × 680 ) / 5

LCM(217,695,680) = 102554200 / 5

LCM(217,695,680) = 20510840


Lets's calculate GCF of 74,42,596

2 74, 42, 596
37, 21, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20510840/2

Therefore the LCM of Fractions 217/74,695/42,680/596 is 10255420

Greatest Common Factor of 74,42,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,42,596 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 74,42,596 . The biggest common factor number is the GCF number.
So the greatest common factor 74,42,596 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 217/74, 695/42, 680/596

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 217/74, 695/42, 680/596?

Answer: LCM of Numerators as per given numbers 217/74, 695/42, 680/596 is

LCM of Numerators i.e. for 217,695,680 is 20510840

GCF of denominators i.e. for 74,42,596 is 2.

Thus, LCM of Fractions is 10255420.Finally, LCM of Fractions for 217/74, 695/42, 680/596 is 10255420.