Least Common Multiple of 369/468, 5142/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/468, 5142/762 quickly i.e. 105411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/468, 5142/762 is 105411.

LCM(369/468, 5142/762) = 105411

LCM of 369/468, 5142/762

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 369/468,5142/762

Given numbers are 369/468,5142/762

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 369,5142

Least Common Multiple of Numerators i.e. LCM of 369,5142 is 632466.

GCF of Denominators means GCF of 468,762 as per the given fractions.

GCF of 468,762 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,5142

LCM of Fractions 369/468,5142/762 is 105411

3 369, 5142
123, 1714

∴ So the LCM of the given numbers is 3 x 123 x 1714 = 632466

Least Common Multiple of 369,5142 with GCF Formula

Least Common Multiple of 369,5142 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 369,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,5142) = 3

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

GCF(369,5142) x common factors =3 x 1 = 3

LCM(369,5142) = ( 369 × 5142 ) / 3

LCM(369,5142) = 1897398 / 3

LCM(369,5142) = 632466


Lets's calculate GCF of 468,762

2 468, 762
3 234, 381
78, 127

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 632466/6

Therefore the LCM of Fractions 369/468,5142/762 is 105411

Greatest Common Factor of 468,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,762 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 468,762 . The biggest common factor number is the GCF number.
So the greatest common factor 468,762 is 6.


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 369/468, 5142/762

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 369/468, 5142/762?

Answer: LCM of Numerators as per given numbers 369/468, 5142/762 is

LCM of Numerators i.e. for 369,5142 is 632466

GCF of denominators i.e. for 468,762 is 6.

Thus, LCM of Fractions is 105411.Finally, LCM of Fractions for 369/468, 5142/762 is 105411.