Least Common Multiple of 617/210, 323/279, 300/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/210, 323/279, 300/942 quickly i.e. 19929100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/210, 323/279, 300/942 is 19929100.

LCM(617/210, 323/279, 300/942) = 19929100

LCM of 617/210, 323/279, 300/942

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 617/210,323/279,300/942

Given numbers are 617/210,323/279,300/942

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 617,323,300

Least Common Multiple of Numerators i.e. LCM of 617,323,300 is 59787300.

GCF of Denominators means GCF of 210,279,942 as per the given fractions.

GCF of 210,279,942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,323,300

LCM of Fractions 617/210,323/279,300/942 is 19929100

Given numbers has no common factors except 1. So, there LCM is their product i.e 59787300

Least Common Multiple of 617,323,300 with GCF Formula

Least Common Multiple of 617,323,300 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 617,323,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,323,300) = 1

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

GCF(617,323,300) x common factors =1 x 1 = 1

LCM(617,323,300) = ( 617 × 323 × 300 ) / 1

LCM(617,323,300) = 59787300 / 1

LCM(617,323,300) = 59787300


Lets's calculate GCF of 210,279,942

3 210, 279, 942
70, 93, 314

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59787300/3

Therefore the LCM of Fractions 617/210,323/279,300/942 is 19929100

Greatest Common Factor of 210,279,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,279,942 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 210,279,942 . The biggest common factor number is the GCF number.
So the greatest common factor 210,279,942 is 3.


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 617/210, 323/279, 300/942

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 617/210, 323/279, 300/942?

Answer: LCM of Numerators as per given numbers 617/210, 323/279, 300/942 is

LCM of Numerators i.e. for 617,323,300 is 59787300

GCF of denominators i.e. for 210,279,942 is 3.

Thus, LCM of Fractions is 19929100.Finally, LCM of Fractions for 617/210, 323/279, 300/942 is 19929100.