Least Common Multiple of 492/762, 624/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/762, 624/147 quickly i.e. 8528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/762, 624/147 is 8528.

LCM(492/762, 624/147) = 8528

LCM of 492/762, 624/147

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 492/762,624/147

Given numbers are 492/762,624/147

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 492,624

Least Common Multiple of Numerators i.e. LCM of 492,624 is 25584.

GCF of Denominators means GCF of 762,147 as per the given fractions.

GCF of 762,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,624

LCM of Fractions 492/762,624/147 is 8528

2 492, 624
2 246, 312
3 123, 156
41, 52

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 52 = 25584

Least Common Multiple of 492,624 with GCF Formula

Least Common Multiple of 492,624 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 492,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,624) = 12

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

GCF(492,624) x common factors =12 x 1 = 12

LCM(492,624) = ( 492 × 624 ) / 12

LCM(492,624) = 307008 / 12

LCM(492,624) = 25584


Lets's calculate GCF of 762,147

3 762, 147
254, 49

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25584/3

Therefore the LCM of Fractions 492/762,624/147 is 8528

Greatest Common Factor of 762,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,147 By Matching Biggest Common Factor Method

Factors of 762

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

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

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 762,147 . The biggest common factor number is the GCF number.
So the greatest common factor 762,147 is 3.


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 492/762, 624/147

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 492/762, 624/147?

Answer: LCM of Numerators as per given numbers 492/762, 624/147 is

LCM of Numerators i.e. for 492,624 is 25584

GCF of denominators i.e. for 762,147 is 3.

Thus, LCM of Fractions is 8528.Finally, LCM of Fractions for 492/762, 624/147 is 8528.