Least Common Multiple of 37/59, 314/77, 158/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/59, 314/77, 158/365 quickly i.e. 917822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/59, 314/77, 158/365 is 917822.

LCM(37/59, 314/77, 158/365) = 917822

LCM of 37/59, 314/77, 158/365

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 37/59,314/77,158/365

Given numbers are 37/59,314/77,158/365

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 37,314,158

Least Common Multiple of Numerators i.e. LCM of 37,314,158 is 917822.

GCF of Denominators means GCF of 59,77,365 as per the given fractions.

GCF of 59,77,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,314,158

LCM of Fractions 37/59,314/77,158/365 is 917822

2 37, 314, 158
37, 157, 79

∴ So the LCM of the given numbers is 2 x 37 x 157 x 79 = 917822

Least Common Multiple of 37,314,158 with GCF Formula

Least Common Multiple of 37,314,158 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 37,314,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,314,158) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,314,158) x common factors =1 x 2 = 2

LCM(37,314,158) = ( 37 × 314 × 158 ) / 2

LCM(37,314,158) = 1835644 / 2

LCM(37,314,158) = 917822


Lets's calculate GCF of 59,77,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 917822/1

Therefore the LCM of Fractions 37/59,314/77,158/365 is 917822

Greatest Common Factor of 59,77,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,77,365 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 59,77,365 . The biggest common factor number is the GCF number.
So the greatest common factor 59,77,365 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 37/59, 314/77, 158/365

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 37/59, 314/77, 158/365?

Answer: LCM of Numerators as per given numbers 37/59, 314/77, 158/365 is

LCM of Numerators i.e. for 37,314,158 is 917822

GCF of denominators i.e. for 59,77,365 is 1.

Thus, LCM of Fractions is 917822.Finally, LCM of Fractions for 37/59, 314/77, 158/365 is 917822.