Least Common Multiple of 684/420, 8463/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/420, 8463/708 quickly i.e. 160797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/420, 8463/708 is 160797.

LCM(684/420, 8463/708) = 160797

LCM of 684/420, 8463/708

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 684/420,8463/708

Given numbers are 684/420,8463/708

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 684,8463

Least Common Multiple of Numerators i.e. LCM of 684,8463 is 1929564.

GCF of Denominators means GCF of 420,708 as per the given fractions.

GCF of 420,708 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,8463

LCM of Fractions 684/420,8463/708 is 160797

3 684, 8463
228, 2821

∴ So the LCM of the given numbers is 3 x 228 x 2821 = 1929564

Least Common Multiple of 684,8463 with GCF Formula

Least Common Multiple of 684,8463 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 684,8463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,8463) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(684,8463) x common factors =3 x 1 = 3

LCM(684,8463) = ( 684 × 8463 ) / 3

LCM(684,8463) = 5788692 / 3

LCM(684,8463) = 1929564


Lets's calculate GCF of 420,708

2 420, 708
2 210, 354
3 105, 177
35, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929564/12

Therefore the LCM of Fractions 684/420,8463/708 is 160797

Greatest Common Factor of 420,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,708 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 420,708 . The biggest common factor number is the GCF number.
So the greatest common factor 420,708 is 12.


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 684/420, 8463/708

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 684/420, 8463/708?

Answer: LCM of Numerators as per given numbers 684/420, 8463/708 is

LCM of Numerators i.e. for 684,8463 is 1929564

GCF of denominators i.e. for 420,708 is 12.

Thus, LCM of Fractions is 160797.Finally, LCM of Fractions for 684/420, 8463/708 is 160797.