Least Common Multiple of 9180/48, 9805/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9180/48, 9805/370 quickly i.e. 9000990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9180/48, 9805/370 is 9000990.

LCM(9180/48, 9805/370) = 9000990

LCM of 9180/48, 9805/370

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 9180/48,9805/370

Given numbers are 9180/48,9805/370

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 9180,9805

Least Common Multiple of Numerators i.e. LCM of 9180,9805 is 18001980.

GCF of Denominators means GCF of 48,370 as per the given fractions.

GCF of 48,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9180,9805

LCM of Fractions 9180/48,9805/370 is 9000990

5 9180, 9805
1836, 1961

∴ So the LCM of the given numbers is 5 x 1836 x 1961 = 18001980

Least Common Multiple of 9180,9805 with GCF Formula

Least Common Multiple of 9180,9805 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 9180,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9180,9805) = 5

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

GCF(9180,9805) x common factors =5 x 1 = 5

LCM(9180,9805) = ( 9180 × 9805 ) / 5

LCM(9180,9805) = 90009900 / 5

LCM(9180,9805) = 18001980


Lets's calculate GCF of 48,370

2 48, 370
24, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18001980/2

Therefore the LCM of Fractions 9180/48,9805/370 is 9000990

Greatest Common Factor of 48,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,370 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 48,370 . The biggest common factor number is the GCF number.
So the greatest common factor 48,370 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 9180/48, 9805/370

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 9180/48, 9805/370?

Answer: LCM of Numerators as per given numbers 9180/48, 9805/370 is

LCM of Numerators i.e. for 9180,9805 is 18001980

GCF of denominators i.e. for 48,370 is 2.

Thus, LCM of Fractions is 9000990.Finally, LCM of Fractions for 9180/48, 9805/370 is 9000990.