Least Common Multiple of 50/37, 70/24, 90/15, 84/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/37, 70/24, 90/15, 84/469 quickly i.e. 6300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/37, 70/24, 90/15, 84/469 is 6300.

LCM(50/37, 70/24, 90/15, 84/469) = 6300

LCM of 50/37, 70/24, 90/15, 84/469

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 50/37,70/24,90/15,84/469

Given numbers are 50/37,70/24,90/15,84/469

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 50,70,90,84

Least Common Multiple of Numerators i.e. LCM of 50,70,90,84 is 6300.

GCF of Denominators means GCF of 37,24,15,469 as per the given fractions.

GCF of 37,24,15,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,70,90,84

LCM of Fractions 50/37,70/24,90/15,84/469 is 6300

2 50, 70, 90, 84
3 25, 35, 45, 42
5 25, 35, 15, 14
7 5, 7, 3, 14
5, 1, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 5 x 1 x 3 x 2 = 6300

Least Common Multiple of 50,70,90,84 with GCF Formula

Least Common Multiple of 50,70,90,84 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 50,70,90,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,70,90,84) = 2

common factors(in case of two or more numbers have common factors) = 2100

GCF(50,70,90,84) x common factors =2 x 2100 = 4200

LCM(50,70,90,84) = ( 50 × 70 × 90 × 84 ) / 4200

LCM(50,70,90,84) = 26460000 / 4200

LCM(50,70,90,84) = 6300


Lets's calculate GCF of 37,24,15,469

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6300/1

Therefore the LCM of Fractions 50/37,70/24,90/15,84/469 is 6300

Greatest Common Factor of 37,24,15,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,24,15,469 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 37,24,15,469 . The biggest common factor number is the GCF number.
So the greatest common factor 37,24,15,469 is 1.


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 50/37, 70/24, 90/15, 84/469

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 50/37, 70/24, 90/15, 84/469?

Answer: LCM of Numerators as per given numbers 50/37, 70/24, 90/15, 84/469 is

LCM of Numerators i.e. for 50,70,90,84 is 6300

GCF of denominators i.e. for 37,24,15,469 is 1.

Thus, LCM of Fractions is 6300.Finally, LCM of Fractions for 50/37, 70/24, 90/15, 84/469 is 6300.