Least Common Multiple of 718/420, 3072/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 718/420, 3072/690 quickly i.e. 1102848/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/420, 3072/690 is 1102848/30.

LCM(718/420, 3072/690) = 1102848/30

LCM of 718/420, 3072/690

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 718/420,3072/690

Given numbers are 718/420,3072/690

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 718,3072

Least Common Multiple of Numerators i.e. LCM of 718,3072 is 1102848.

GCF of Denominators means GCF of 420,690 as per the given fractions.

GCF of 420,690 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,3072

LCM of Fractions 718/420,3072/690 is 1102848/30

2 718, 3072
359, 1536

∴ So the LCM of the given numbers is 2 x 359 x 1536 = 1102848

Least Common Multiple of 718,3072 with GCF Formula

Least Common Multiple of 718,3072 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 718,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,3072) = 2

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

GCF(718,3072) x common factors =2 x 1 = 2

LCM(718,3072) = ( 718 × 3072 ) / 2

LCM(718,3072) = 2205696 / 2

LCM(718,3072) = 1102848


Lets's calculate GCF of 420,690

2 420, 690
3 210, 345
5 70, 115
14, 23

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1102848/30

Therefore the LCM of Fractions 718/420,3072/690 is 1102848/30

Greatest Common Factor of 420,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,690 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 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 420,690 . The biggest common factor number is the GCF number.
So the greatest common factor 420,690 is 30.


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 718/420, 3072/690

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 718/420, 3072/690?

Answer: LCM of Numerators as per given numbers 718/420, 3072/690 is

LCM of Numerators i.e. for 718,3072 is 1102848

GCF of denominators i.e. for 420,690 is 30.

Thus, LCM of Fractions is 1102848/30.Finally, LCM of Fractions for 718/420, 3072/690 is 1102848/30.