Least Common Multiple of 950/92, 768/20, 704/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 950/92, 768/20, 704/37 quickly i.e. 4012800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 950/92, 768/20, 704/37 is 4012800.

LCM(950/92, 768/20, 704/37) = 4012800

LCM of 950/92, 768/20, 704/37

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 950/92,768/20,704/37

Given numbers are 950/92,768/20,704/37

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 950,768,704

Least Common Multiple of Numerators i.e. LCM of 950,768,704 is 4012800.

GCF of Denominators means GCF of 92,20,37 as per the given fractions.

GCF of 92,20,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 950,768,704

LCM of Fractions 950/92,768/20,704/37 is 4012800

2 950, 768, 704
2 475, 384, 352
2 475, 192, 176
2 475, 96, 88
2 475, 48, 44
2 475, 24, 22
475, 12, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 475 x 12 x 11 = 4012800

Least Common Multiple of 950,768,704 with GCF Formula

Least Common Multiple of 950,768,704 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 950,768,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,768,704) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(950,768,704) x common factors =2 x 64 = 128

LCM(950,768,704) = ( 950 × 768 × 704 ) / 128

LCM(950,768,704) = 513638400 / 128

LCM(950,768,704) = 4012800


Lets's calculate GCF of 92,20,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4012800/1

Therefore the LCM of Fractions 950/92,768/20,704/37 is 4012800

Greatest Common Factor of 92,20,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,20,37 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 37

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

1,37

Greatest Common Factor

We found the factors 92,20,37 . The biggest common factor number is the GCF number.
So the greatest common factor 92,20,37 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 950/92, 768/20, 704/37

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 950/92, 768/20, 704/37?

Answer: LCM of Numerators as per given numbers 950/92, 768/20, 704/37 is

LCM of Numerators i.e. for 950,768,704 is 4012800

GCF of denominators i.e. for 92,20,37 is 1.

Thus, LCM of Fractions is 4012800.Finally, LCM of Fractions for 950/92, 768/20, 704/37 is 4012800.