Least Common Multiple of 50/276, 64/183, 750/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/276, 64/183, 750/870 quickly i.e. 8000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/276, 64/183, 750/870 is 8000.

LCM(50/276, 64/183, 750/870) = 8000

LCM of 50/276, 64/183, 750/870

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 50/276,64/183,750/870

Given numbers are 50/276,64/183,750/870

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 50,64,750

Least Common Multiple of Numerators i.e. LCM of 50,64,750 is 24000.

GCF of Denominators means GCF of 276,183,870 as per the given fractions.

GCF of 276,183,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,64,750

LCM of Fractions 50/276,64/183,750/870 is 8000

2 50, 64, 750
5 25, 32, 375
5 5, 32, 75
1, 32, 15

∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 32 x 15 = 24000

Least Common Multiple of 50,64,750 with GCF Formula

Least Common Multiple of 50,64,750 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 50,64,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,64,750) = 2

common factors(in case of two or more numbers have common factors) = 50

GCF(50,64,750) x common factors =2 x 50 = 100

LCM(50,64,750) = ( 50 × 64 × 750 ) / 100

LCM(50,64,750) = 2400000 / 100

LCM(50,64,750) = 24000


Lets's calculate GCF of 276,183,870

3 276, 183, 870
92, 61, 290

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24000/3

Therefore the LCM of Fractions 50/276,64/183,750/870 is 8000

Greatest Common Factor of 276,183,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,183,870 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 276,183,870 . The biggest common factor number is the GCF number.
So the greatest common factor 276,183,870 is 3.


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 50/276, 64/183, 750/870

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 50/276, 64/183, 750/870?

Answer: LCM of Numerators as per given numbers 50/276, 64/183, 750/870 is

LCM of Numerators i.e. for 50,64,750 is 24000

GCF of denominators i.e. for 276,183,870 is 3.

Thus, LCM of Fractions is 8000.Finally, LCM of Fractions for 50/276, 64/183, 750/870 is 8000.