Least Common Multiple of 16/354, 366/862, 416/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/354, 366/862, 416/979 quickly i.e. 76128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/354, 366/862, 416/979 is 76128.

LCM(16/354, 366/862, 416/979) = 76128

LCM of 16/354, 366/862, 416/979

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 16/354,366/862,416/979

Given numbers are 16/354,366/862,416/979

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 16,366,416

Least Common Multiple of Numerators i.e. LCM of 16,366,416 is 76128.

GCF of Denominators means GCF of 354,862,979 as per the given fractions.

GCF of 354,862,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,366,416

LCM of Fractions 16/354,366/862,416/979 is 76128

2 16, 366, 416
2 8, 183, 208
2 4, 183, 104
2 2, 183, 52
1, 183, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 183 x 26 = 76128

Least Common Multiple of 16,366,416 with GCF Formula

Least Common Multiple of 16,366,416 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 16,366,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,366,416) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,366,416) x common factors =2 x 16 = 32

LCM(16,366,416) = ( 16 × 366 × 416 ) / 32

LCM(16,366,416) = 2436096 / 32

LCM(16,366,416) = 76128


Lets's calculate GCF of 354,862,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76128/1

Therefore the LCM of Fractions 16/354,366/862,416/979 is 76128

Greatest Common Factor of 354,862,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,862,979 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 354,862,979 . The biggest common factor number is the GCF number.
So the greatest common factor 354,862,979 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 16/354, 366/862, 416/979

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 16/354, 366/862, 416/979?

Answer: LCM of Numerators as per given numbers 16/354, 366/862, 416/979 is

LCM of Numerators i.e. for 16,366,416 is 76128

GCF of denominators i.e. for 354,862,979 is 1.

Thus, LCM of Fractions is 76128.Finally, LCM of Fractions for 16/354, 366/862, 416/979 is 76128.