Least Common Multiple of 3702/803, 6030/6278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3702/803, 6030/6278 quickly i.e. 3720510/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3702/803, 6030/6278 is 3720510/73.

LCM(3702/803, 6030/6278) = 3720510/73

LCM of 3702/803, 6030/6278

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 3702/803,6030/6278

Given numbers are 3702/803,6030/6278

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 3702,6030

Least Common Multiple of Numerators i.e. LCM of 3702,6030 is 3720510.

GCF of Denominators means GCF of 803,6278 as per the given fractions.

GCF of 803,6278 is 73 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3702,6030

LCM of Fractions 3702/803,6030/6278 is 3720510/73

2 3702, 6030
3 1851, 3015
617, 1005

∴ So the LCM of the given numbers is 2 x 3 x 617 x 1005 = 3720510

Least Common Multiple of 3702,6030 with GCF Formula

Least Common Multiple of 3702,6030 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 3702,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3702,6030) = 6

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

GCF(3702,6030) x common factors =6 x 1 = 6

LCM(3702,6030) = ( 3702 × 6030 ) / 6

LCM(3702,6030) = 22323060 / 6

LCM(3702,6030) = 3720510


Lets's calculate GCF of 803,6278

73 803, 6278
11, 86

∴ So the GCF of the given numbers is 73 = 73

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3720510/73

Therefore the LCM of Fractions 3702/803,6030/6278 is 3720510/73

Greatest Common Factor of 803,6278 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,6278 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 6278

List of positive integer factors of 6278 that divides 6278 without a remainder.

1,2,43,73,86,146,3139,6278

Greatest Common Factor

We found the factors 803,6278 . The biggest common factor number is the GCF number.
So the greatest common factor 803,6278 is 73.


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 3702/803, 6030/6278

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 3702/803, 6030/6278?

Answer: LCM of Numerators as per given numbers 3702/803, 6030/6278 is

LCM of Numerators i.e. for 3702,6030 is 3720510

GCF of denominators i.e. for 803,6278 is 73.

Thus, LCM of Fractions is 3720510/73.Finally, LCM of Fractions for 3702/803, 6030/6278 is 3720510/73.