Least Common Multiple of 616/380, 340/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/380, 340/300 quickly i.e. 2618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/380, 340/300 is 2618.

LCM(616/380, 340/300) = 2618

LCM of 616/380, 340/300

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 616/380,340/300

Given numbers are 616/380,340/300

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 616,340

Least Common Multiple of Numerators i.e. LCM of 616,340 is 52360.

GCF of Denominators means GCF of 380,300 as per the given fractions.

GCF of 380,300 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,340

LCM of Fractions 616/380,340/300 is 2618

2 616, 340
2 308, 170
154, 85

∴ So the LCM of the given numbers is 2 x 2 x 154 x 85 = 52360

Least Common Multiple of 616,340 with GCF Formula

Least Common Multiple of 616,340 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 616,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,340) = 4

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

GCF(616,340) x common factors =4 x 1 = 4

LCM(616,340) = ( 616 × 340 ) / 4

LCM(616,340) = 209440 / 4

LCM(616,340) = 52360


Lets's calculate GCF of 380,300

2 380, 300
2 190, 150
5 95, 75
19, 15

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52360/20

Therefore the LCM of Fractions 616/380,340/300 is 2618

Greatest Common Factor of 380,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,300 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 380,300 . The biggest common factor number is the GCF number.
So the greatest common factor 380,300 is 20.


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 616/380, 340/300

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 616/380, 340/300?

Answer: LCM of Numerators as per given numbers 616/380, 340/300 is

LCM of Numerators i.e. for 616,340 is 52360

GCF of denominators i.e. for 380,300 is 20.

Thus, LCM of Fractions is 2618.Finally, LCM of Fractions for 616/380, 340/300 is 2618.