Least Common Multiple of 37/80, 46/62, 56/92, 34/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/80, 46/62, 56/92, 34/596 quickly i.e. 405076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/80, 46/62, 56/92, 34/596 is 405076.

LCM(37/80, 46/62, 56/92, 34/596) = 405076

LCM of 37/80, 46/62, 56/92, 34/596

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 37/80,46/62,56/92,34/596

Given numbers are 37/80,46/62,56/92,34/596

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 37,46,56,34

Least Common Multiple of Numerators i.e. LCM of 37,46,56,34 is 810152.

GCF of Denominators means GCF of 80,62,92,596 as per the given fractions.

GCF of 80,62,92,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,46,56,34

LCM of Fractions 37/80,46/62,56/92,34/596 is 405076

2 37, 46, 56, 34
37, 23, 28, 17

∴ So the LCM of the given numbers is 2 x 37 x 23 x 28 x 17 = 810152

Least Common Multiple of 37,46,56,34 with GCF Formula

Least Common Multiple of 37,46,56,34 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 37,46,56,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,46,56,34) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(37,46,56,34) x common factors =1 x 4 = 4

LCM(37,46,56,34) = ( 37 × 46 × 56 × 34 ) / 4

LCM(37,46,56,34) = 3240608 / 4

LCM(37,46,56,34) = 810152


Lets's calculate GCF of 80,62,92,596

2 80, 62, 92, 596
40, 31, 46, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810152/2

Therefore the LCM of Fractions 37/80,46/62,56/92,34/596 is 405076

Greatest Common Factor of 80,62,92,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,62,92,596 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 92

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

1,2,4,23,46,92

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 80,62,92,596 . The biggest common factor number is the GCF number.
So the greatest common factor 80,62,92,596 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 37/80, 46/62, 56/92, 34/596

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 37/80, 46/62, 56/92, 34/596?

Answer: LCM of Numerators as per given numbers 37/80, 46/62, 56/92, 34/596 is

LCM of Numerators i.e. for 37,46,56,34 is 810152

GCF of denominators i.e. for 80,62,92,596 is 2.

Thus, LCM of Fractions is 405076.Finally, LCM of Fractions for 37/80, 46/62, 56/92, 34/596 is 405076.