Least Common Multiple of 977/40, 306/3600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/40, 306/3600 quickly i.e. 298962/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/40, 306/3600 is 298962/40.

LCM(977/40, 306/3600) = 298962/40

LCM of 977/40, 306/3600

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 977/40,306/3600

Given numbers are 977/40,306/3600

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 977,306

Least Common Multiple of Numerators i.e. LCM of 977,306 is 298962.

GCF of Denominators means GCF of 40,3600 as per the given fractions.

GCF of 40,3600 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,306

LCM of Fractions 977/40,306/3600 is 298962/40

Given numbers has no common factors except 1. So, there LCM is their product i.e 298962

Least Common Multiple of 977,306 with GCF Formula

Least Common Multiple of 977,306 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 977,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,306) = 1

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

GCF(977,306) x common factors =1 x 1 = 1

LCM(977,306) = ( 977 × 306 ) / 1

LCM(977,306) = 298962 / 1

LCM(977,306) = 298962


Lets's calculate GCF of 40,3600

2 40, 3600
2 20, 1800
2 10, 900
5 5, 450
1, 90

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298962/40

Therefore the LCM of Fractions 977/40,306/3600 is 298962/40

Greatest Common Factor of 40,3600 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,3600 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600

Greatest Common Factor

We found the factors 40,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3600 is 40.


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 977/40, 306/3600

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 977/40, 306/3600?

Answer: LCM of Numerators as per given numbers 977/40, 306/3600 is

LCM of Numerators i.e. for 977,306 is 298962

GCF of denominators i.e. for 40,3600 is 40.

Thus, LCM of Fractions is 298962/40.Finally, LCM of Fractions for 977/40, 306/3600 is 298962/40.