Least Common Multiple of 680/27, 619/60, 688/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/27, 619/60, 688/630 quickly i.e. 36199120/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/27, 619/60, 688/630 is 36199120/3.

LCM(680/27, 619/60, 688/630) = 36199120/3

LCM of 680/27, 619/60, 688/630

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 680/27,619/60,688/630

Given numbers are 680/27,619/60,688/630

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 680,619,688

Least Common Multiple of Numerators i.e. LCM of 680,619,688 is 36199120.

GCF of Denominators means GCF of 27,60,630 as per the given fractions.

GCF of 27,60,630 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,619,688

LCM of Fractions 680/27,619/60,688/630 is 36199120/3

2 680, 619, 688
2 340, 619, 344
2 170, 619, 172
85, 619, 86

∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 619 x 86 = 36199120

Least Common Multiple of 680,619,688 with GCF Formula

Least Common Multiple of 680,619,688 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 680,619,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,619,688) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(680,619,688) x common factors =1 x 8 = 8

LCM(680,619,688) = ( 680 × 619 × 688 ) / 8

LCM(680,619,688) = 289592960 / 8

LCM(680,619,688) = 36199120


Lets's calculate GCF of 27,60,630

3 27, 60, 630
9, 20, 210

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36199120/3

Therefore the LCM of Fractions 680/27,619/60,688/630 is 36199120/3

Greatest Common Factor of 27,60,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,60,630 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 27,60,630 . The biggest common factor number is the GCF number.
So the greatest common factor 27,60,630 is 3.


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 680/27, 619/60, 688/630

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 680/27, 619/60, 688/630?

Answer: LCM of Numerators as per given numbers 680/27, 619/60, 688/630 is

LCM of Numerators i.e. for 680,619,688 is 36199120

GCF of denominators i.e. for 27,60,630 is 3.

Thus, LCM of Fractions is 36199120/3.Finally, LCM of Fractions for 680/27, 619/60, 688/630 is 36199120/3.