Least Common Multiple of 53/420, 16/630, 402/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/420, 16/630, 402/125 quickly i.e. 170448/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/420, 16/630, 402/125 is 170448/5.

LCM(53/420, 16/630, 402/125) = 170448/5

LCM of 53/420, 16/630, 402/125

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 53/420,16/630,402/125

Given numbers are 53/420,16/630,402/125

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 53,16,402

Least Common Multiple of Numerators i.e. LCM of 53,16,402 is 170448.

GCF of Denominators means GCF of 420,630,125 as per the given fractions.

GCF of 420,630,125 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,16,402

LCM of Fractions 53/420,16/630,402/125 is 170448/5

2 53, 16, 402
53, 8, 201

∴ So the LCM of the given numbers is 2 x 53 x 8 x 201 = 170448

Least Common Multiple of 53,16,402 with GCF Formula

Least Common Multiple of 53,16,402 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 53,16,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,16,402) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,16,402) x common factors =1 x 2 = 2

LCM(53,16,402) = ( 53 × 16 × 402 ) / 2

LCM(53,16,402) = 340896 / 2

LCM(53,16,402) = 170448


Lets's calculate GCF of 420,630,125

5 420, 630, 125
84, 126, 25

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170448/5

Therefore the LCM of Fractions 53/420,16/630,402/125 is 170448/5

Greatest Common Factor of 420,630,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,630,125 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 420,630,125 . The biggest common factor number is the GCF number.
So the greatest common factor 420,630,125 is 5.


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 53/420, 16/630, 402/125

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 53/420, 16/630, 402/125?

Answer: LCM of Numerators as per given numbers 53/420, 16/630, 402/125 is

LCM of Numerators i.e. for 53,16,402 is 170448

GCF of denominators i.e. for 420,630,125 is 5.

Thus, LCM of Fractions is 170448/5.Finally, LCM of Fractions for 53/420, 16/630, 402/125 is 170448/5.