Least Common Multiple of 80/904, 618/964, 971/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/904, 618/964, 971/604 quickly i.e. 6000780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/904, 618/964, 971/604 is 6000780.

LCM(80/904, 618/964, 971/604) = 6000780

LCM of 80/904, 618/964, 971/604

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 80/904,618/964,971/604

Given numbers are 80/904,618/964,971/604

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 80,618,971

Least Common Multiple of Numerators i.e. LCM of 80,618,971 is 24003120.

GCF of Denominators means GCF of 904,964,604 as per the given fractions.

GCF of 904,964,604 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,618,971

LCM of Fractions 80/904,618/964,971/604 is 6000780

2 80, 618, 971
40, 309, 971

∴ So the LCM of the given numbers is 2 x 40 x 309 x 971 = 24003120

Least Common Multiple of 80,618,971 with GCF Formula

Least Common Multiple of 80,618,971 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 80,618,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,618,971) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,618,971) x common factors =1 x 2 = 2

LCM(80,618,971) = ( 80 × 618 × 971 ) / 2

LCM(80,618,971) = 48006240 / 2

LCM(80,618,971) = 24003120


Lets's calculate GCF of 904,964,604

2 904, 964, 604
2 452, 482, 302
226, 241, 151

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24003120/4

Therefore the LCM of Fractions 80/904,618/964,971/604 is 6000780

Greatest Common Factor of 904,964,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,964,604 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 904,964,604 . The biggest common factor number is the GCF number.
So the greatest common factor 904,964,604 is 4.


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 80/904, 618/964, 971/604

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 80/904, 618/964, 971/604?

Answer: LCM of Numerators as per given numbers 80/904, 618/964, 971/604 is

LCM of Numerators i.e. for 80,618,971 is 24003120

GCF of denominators i.e. for 904,964,604 is 4.

Thus, LCM of Fractions is 6000780.Finally, LCM of Fractions for 80/904, 618/964, 971/604 is 6000780.