Least Common Multiple of 6451/702, 1710/7416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6451/702, 1710/7416 quickly i.e. 612845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6451/702, 1710/7416 is 612845.

LCM(6451/702, 1710/7416) = 612845

LCM of 6451/702, 1710/7416

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 6451/702,1710/7416

Given numbers are 6451/702,1710/7416

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 6451,1710

Least Common Multiple of Numerators i.e. LCM of 6451,1710 is 11031210.

GCF of Denominators means GCF of 702,7416 as per the given fractions.

GCF of 702,7416 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6451,1710

LCM of Fractions 6451/702,1710/7416 is 612845

Given numbers has no common factors except 1. So, there LCM is their product i.e 11031210

Least Common Multiple of 6451,1710 with GCF Formula

Least Common Multiple of 6451,1710 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 6451,1710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6451,1710) = 1

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

GCF(6451,1710) x common factors =1 x 1 = 1

LCM(6451,1710) = ( 6451 × 1710 ) / 1

LCM(6451,1710) = 11031210 / 1

LCM(6451,1710) = 11031210


Lets's calculate GCF of 702,7416

2 702, 7416
3 351, 3708
3 117, 1236
39, 412

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11031210/18

Therefore the LCM of Fractions 6451/702,1710/7416 is 612845

Greatest Common Factor of 702,7416 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,7416 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Greatest Common Factor

We found the factors 702,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 702,7416 is 18.


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 6451/702, 1710/7416

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 6451/702, 1710/7416?

Answer: LCM of Numerators as per given numbers 6451/702, 1710/7416 is

LCM of Numerators i.e. for 6451,1710 is 11031210

GCF of denominators i.e. for 702,7416 is 18.

Thus, LCM of Fractions is 612845.Finally, LCM of Fractions for 6451/702, 1710/7416 is 612845.