Least Common Multiple of 16/488, 754/977, 799/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/488, 754/977, 799/370 quickly i.e. 4819568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/488, 754/977, 799/370 is 4819568.

LCM(16/488, 754/977, 799/370) = 4819568

LCM of 16/488, 754/977, 799/370

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 16/488,754/977,799/370

Given numbers are 16/488,754/977,799/370

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 16,754,799

Least Common Multiple of Numerators i.e. LCM of 16,754,799 is 4819568.

GCF of Denominators means GCF of 488,977,370 as per the given fractions.

GCF of 488,977,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,754,799

LCM of Fractions 16/488,754/977,799/370 is 4819568

2 16, 754, 799
8, 377, 799

∴ So the LCM of the given numbers is 2 x 8 x 377 x 799 = 4819568

Least Common Multiple of 16,754,799 with GCF Formula

Least Common Multiple of 16,754,799 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 16,754,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,754,799) = 1

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

GCF(16,754,799) x common factors =1 x 2 = 2

LCM(16,754,799) = ( 16 × 754 × 799 ) / 2

LCM(16,754,799) = 9639136 / 2

LCM(16,754,799) = 4819568


Lets's calculate GCF of 488,977,370

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4819568/1

Therefore the LCM of Fractions 16/488,754/977,799/370 is 4819568

Greatest Common Factor of 488,977,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,977,370 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

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 488,977,370 . The biggest common factor number is the GCF number.
So the greatest common factor 488,977,370 is 1.


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 16/488, 754/977, 799/370

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 16/488, 754/977, 799/370?

Answer: LCM of Numerators as per given numbers 16/488, 754/977, 799/370 is

LCM of Numerators i.e. for 16,754,799 is 4819568

GCF of denominators i.e. for 488,977,370 is 1.

Thus, LCM of Fractions is 4819568.Finally, LCM of Fractions for 16/488, 754/977, 799/370 is 4819568.