Least Common Multiple of 480/492, 340/612, 546/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/492, 340/612, 546/474 quickly i.e. 123760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/492, 340/612, 546/474 is 123760.

LCM(480/492, 340/612, 546/474) = 123760

LCM of 480/492, 340/612, 546/474

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 480/492,340/612,546/474

Given numbers are 480/492,340/612,546/474

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 480,340,546

Least Common Multiple of Numerators i.e. LCM of 480,340,546 is 742560.

GCF of Denominators means GCF of 492,612,474 as per the given fractions.

GCF of 492,612,474 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,340,546

LCM of Fractions 480/492,340/612,546/474 is 123760

2 480, 340, 546
2 240, 170, 273
3 120, 85, 273
5 40, 85, 91
8, 17, 91

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 17 x 91 = 742560

Least Common Multiple of 480,340,546 with GCF Formula

Least Common Multiple of 480,340,546 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 480,340,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,340,546) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(480,340,546) x common factors =2 x 60 = 120

LCM(480,340,546) = ( 480 × 340 × 546 ) / 120

LCM(480,340,546) = 89107200 / 120

LCM(480,340,546) = 742560


Lets's calculate GCF of 492,612,474

2 492, 612, 474
3 246, 306, 237
82, 102, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742560/6

Therefore the LCM of Fractions 480/492,340/612,546/474 is 123760

Greatest Common Factor of 492,612,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,612,474 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 492,612,474 . The biggest common factor number is the GCF number.
So the greatest common factor 492,612,474 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 480/492, 340/612, 546/474

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 480/492, 340/612, 546/474?

Answer: LCM of Numerators as per given numbers 480/492, 340/612, 546/474 is

LCM of Numerators i.e. for 480,340,546 is 742560

GCF of denominators i.e. for 492,612,474 is 6.

Thus, LCM of Fractions is 123760.Finally, LCM of Fractions for 480/492, 340/612, 546/474 is 123760.