Least Common Multiple of 42/484, 572/942, 510/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/484, 572/942, 510/602 quickly i.e. 510510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/484, 572/942, 510/602 is 510510.

LCM(42/484, 572/942, 510/602) = 510510

LCM of 42/484, 572/942, 510/602

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 42/484,572/942,510/602

Given numbers are 42/484,572/942,510/602

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 42,572,510

Least Common Multiple of Numerators i.e. LCM of 42,572,510 is 1021020.

GCF of Denominators means GCF of 484,942,602 as per the given fractions.

GCF of 484,942,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,572,510

LCM of Fractions 42/484,572/942,510/602 is 510510

2 42, 572, 510
3 21, 286, 255
7, 286, 85

∴ So the LCM of the given numbers is 2 x 3 x 7 x 286 x 85 = 1021020

Least Common Multiple of 42,572,510 with GCF Formula

Least Common Multiple of 42,572,510 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 42,572,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,572,510) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(42,572,510) x common factors =2 x 6 = 12

LCM(42,572,510) = ( 42 × 572 × 510 ) / 12

LCM(42,572,510) = 12252240 / 12

LCM(42,572,510) = 1021020


Lets's calculate GCF of 484,942,602

2 484, 942, 602
242, 471, 301

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1021020/2

Therefore the LCM of Fractions 42/484,572/942,510/602 is 510510

Greatest Common Factor of 484,942,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,942,602 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 484,942,602 . The biggest common factor number is the GCF number.
So the greatest common factor 484,942,602 is 2.


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 42/484, 572/942, 510/602

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 42/484, 572/942, 510/602?

Answer: LCM of Numerators as per given numbers 42/484, 572/942, 510/602 is

LCM of Numerators i.e. for 42,572,510 is 1021020

GCF of denominators i.e. for 484,942,602 is 2.

Thus, LCM of Fractions is 510510.Finally, LCM of Fractions for 42/484, 572/942, 510/602 is 510510.