Least Common Multiple of 16/620, 915/931, 684/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/620, 915/931, 684/678 quickly i.e. 834480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/620, 915/931, 684/678 is 834480.

LCM(16/620, 915/931, 684/678) = 834480

LCM of 16/620, 915/931, 684/678

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 16/620,915/931,684/678

Given numbers are 16/620,915/931,684/678

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 16,915,684

Least Common Multiple of Numerators i.e. LCM of 16,915,684 is 834480.

GCF of Denominators means GCF of 620,931,678 as per the given fractions.

GCF of 620,931,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,915,684

LCM of Fractions 16/620,915/931,684/678 is 834480

2 16, 915, 684
2 8, 915, 342
3 4, 915, 171
4, 305, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 305 x 57 = 834480

Least Common Multiple of 16,915,684 with GCF Formula

Least Common Multiple of 16,915,684 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 16,915,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,915,684) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(16,915,684) x common factors =1 x 12 = 12

LCM(16,915,684) = ( 16 × 915 × 684 ) / 12

LCM(16,915,684) = 10013760 / 12

LCM(16,915,684) = 834480


Lets's calculate GCF of 620,931,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 834480/1

Therefore the LCM of Fractions 16/620,915/931,684/678 is 834480

Greatest Common Factor of 620,931,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,931,678 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 620,931,678 . The biggest common factor number is the GCF number.
So the greatest common factor 620,931,678 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 16/620, 915/931, 684/678

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 16/620, 915/931, 684/678?

Answer: LCM of Numerators as per given numbers 16/620, 915/931, 684/678 is

LCM of Numerators i.e. for 16,915,684 is 834480

GCF of denominators i.e. for 620,931,678 is 1.

Thus, LCM of Fractions is 834480.Finally, LCM of Fractions for 16/620, 915/931, 684/678 is 834480.