Least Common Multiple of 3138/650, 7030/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3138/650, 7030/510 quickly i.e. 1103007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3138/650, 7030/510 is 1103007.

LCM(3138/650, 7030/510) = 1103007

LCM of 3138/650, 7030/510

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 3138/650,7030/510

Given numbers are 3138/650,7030/510

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 3138,7030

Least Common Multiple of Numerators i.e. LCM of 3138,7030 is 11030070.

GCF of Denominators means GCF of 650,510 as per the given fractions.

GCF of 650,510 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3138,7030

LCM of Fractions 3138/650,7030/510 is 1103007

2 3138, 7030
1569, 3515

∴ So the LCM of the given numbers is 2 x 1569 x 3515 = 11030070

Least Common Multiple of 3138,7030 with GCF Formula

Least Common Multiple of 3138,7030 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 3138,7030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3138,7030) = 2

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

GCF(3138,7030) x common factors =2 x 1 = 2

LCM(3138,7030) = ( 3138 × 7030 ) / 2

LCM(3138,7030) = 22060140 / 2

LCM(3138,7030) = 11030070


Lets's calculate GCF of 650,510

2 650, 510
5 325, 255
65, 51

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11030070/10

Therefore the LCM of Fractions 3138/650,7030/510 is 1103007

Greatest Common Factor of 650,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,510 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 650,510 . The biggest common factor number is the GCF number.
So the greatest common factor 650,510 is 10.


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 3138/650, 7030/510

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 3138/650, 7030/510?

Answer: LCM of Numerators as per given numbers 3138/650, 7030/510 is

LCM of Numerators i.e. for 3138,7030 is 11030070

GCF of denominators i.e. for 650,510 is 10.

Thus, LCM of Fractions is 1103007.Finally, LCM of Fractions for 3138/650, 7030/510 is 1103007.