Least Common Multiple of 3078/736, 4095/7020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3078/736, 4095/7020 quickly i.e. 1400490/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3078/736, 4095/7020 is 1400490/4.

LCM(3078/736, 4095/7020) = 1400490/4

LCM of 3078/736, 4095/7020

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 3078/736,4095/7020

Given numbers are 3078/736,4095/7020

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 3078,4095

Least Common Multiple of Numerators i.e. LCM of 3078,4095 is 1400490.

GCF of Denominators means GCF of 736,7020 as per the given fractions.

GCF of 736,7020 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3078,4095

LCM of Fractions 3078/736,4095/7020 is 1400490/4

3 3078, 4095
3 1026, 1365
342, 455

∴ So the LCM of the given numbers is 3 x 3 x 342 x 455 = 1400490

Least Common Multiple of 3078,4095 with GCF Formula

Least Common Multiple of 3078,4095 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 3078,4095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3078,4095) = 9

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

GCF(3078,4095) x common factors =9 x 1 = 9

LCM(3078,4095) = ( 3078 × 4095 ) / 9

LCM(3078,4095) = 12604410 / 9

LCM(3078,4095) = 1400490


Lets's calculate GCF of 736,7020

2 736, 7020
2 368, 3510
184, 1755

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1400490/4

Therefore the LCM of Fractions 3078/736,4095/7020 is 1400490/4

Greatest Common Factor of 736,7020 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,7020 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Greatest Common Factor

We found the factors 736,7020 . The biggest common factor number is the GCF number.
So the greatest common factor 736,7020 is 4.


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 3078/736, 4095/7020

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 3078/736, 4095/7020?

Answer: LCM of Numerators as per given numbers 3078/736, 4095/7020 is

LCM of Numerators i.e. for 3078,4095 is 1400490

GCF of denominators i.e. for 736,7020 is 4.

Thus, LCM of Fractions is 1400490/4.Finally, LCM of Fractions for 3078/736, 4095/7020 is 1400490/4.