Least Common Multiple of 42/50, 684/28, 550/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/50, 684/28, 550/976 quickly i.e. 658350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/50, 684/28, 550/976 is 658350.

LCM(42/50, 684/28, 550/976) = 658350

LCM of 42/50, 684/28, 550/976

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 42/50,684/28,550/976

Given numbers are 42/50,684/28,550/976

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 42,684,550

Least Common Multiple of Numerators i.e. LCM of 42,684,550 is 1316700.

GCF of Denominators means GCF of 50,28,976 as per the given fractions.

GCF of 50,28,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,684,550

LCM of Fractions 42/50,684/28,550/976 is 658350

2 42, 684, 550
3 21, 342, 275
7, 114, 275

∴ So the LCM of the given numbers is 2 x 3 x 7 x 114 x 275 = 1316700

Least Common Multiple of 42,684,550 with GCF Formula

Least Common Multiple of 42,684,550 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 42,684,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,684,550) = 2

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

GCF(42,684,550) x common factors =2 x 6 = 12

LCM(42,684,550) = ( 42 × 684 × 550 ) / 12

LCM(42,684,550) = 15800400 / 12

LCM(42,684,550) = 1316700


Lets's calculate GCF of 50,28,976

2 50, 28, 976
25, 14, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1316700/2

Therefore the LCM of Fractions 42/50,684/28,550/976 is 658350

Greatest Common Factor of 50,28,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,28,976 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 50,28,976 . The biggest common factor number is the GCF number.
So the greatest common factor 50,28,976 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 42/50, 684/28, 550/976

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 42/50, 684/28, 550/976?

Answer: LCM of Numerators as per given numbers 42/50, 684/28, 550/976 is

LCM of Numerators i.e. for 42,684,550 is 1316700

GCF of denominators i.e. for 50,28,976 is 2.

Thus, LCM of Fractions is 658350.Finally, LCM of Fractions for 42/50, 684/28, 550/976 is 658350.