Least Common Multiple of 367/95, 300/1560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/95, 300/1560 quickly i.e. 22020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/95, 300/1560 is 22020.

LCM(367/95, 300/1560) = 22020

LCM of 367/95, 300/1560

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 367/95,300/1560

Given numbers are 367/95,300/1560

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 367,300

Least Common Multiple of Numerators i.e. LCM of 367,300 is 110100.

GCF of Denominators means GCF of 95,1560 as per the given fractions.

GCF of 95,1560 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,300

LCM of Fractions 367/95,300/1560 is 22020

Given numbers has no common factors except 1. So, there LCM is their product i.e 110100

Least Common Multiple of 367,300 with GCF Formula

Least Common Multiple of 367,300 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 367,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,300) = 1

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

GCF(367,300) x common factors =1 x 1 = 1

LCM(367,300) = ( 367 × 300 ) / 1

LCM(367,300) = 110100 / 1

LCM(367,300) = 110100


Lets's calculate GCF of 95,1560

5 95, 1560
19, 312

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110100/5

Therefore the LCM of Fractions 367/95,300/1560 is 22020

Greatest Common Factor of 95,1560 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,1560 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560

Greatest Common Factor

We found the factors 95,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 95,1560 is 5.


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 367/95, 300/1560

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 367/95, 300/1560?

Answer: LCM of Numerators as per given numbers 367/95, 300/1560 is

LCM of Numerators i.e. for 367,300 is 110100

GCF of denominators i.e. for 95,1560 is 5.

Thus, LCM of Fractions is 22020.Finally, LCM of Fractions for 367/95, 300/1560 is 22020.