Least Common Multiple of 37/849, 433/459, 458/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/849, 433/459, 458/693 quickly i.e. 7337618/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/849, 433/459, 458/693 is 7337618/3.

LCM(37/849, 433/459, 458/693) = 7337618/3

LCM of 37/849, 433/459, 458/693

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 37/849,433/459,458/693

Given numbers are 37/849,433/459,458/693

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 37,433,458

Least Common Multiple of Numerators i.e. LCM of 37,433,458 is 7337618.

GCF of Denominators means GCF of 849,459,693 as per the given fractions.

GCF of 849,459,693 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,433,458

LCM of Fractions 37/849,433/459,458/693 is 7337618/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 7337618

Least Common Multiple of 37,433,458 with GCF Formula

Least Common Multiple of 37,433,458 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 37,433,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,433,458) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,433,458) x common factors =1 x 1 = 1

LCM(37,433,458) = ( 37 × 433 × 458 ) / 1

LCM(37,433,458) = 7337618 / 1

LCM(37,433,458) = 7337618


Lets's calculate GCF of 849,459,693

3 849, 459, 693
283, 153, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7337618/3

Therefore the LCM of Fractions 37/849,433/459,458/693 is 7337618/3

Greatest Common Factor of 849,459,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,459,693 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 849,459,693 . The biggest common factor number is the GCF number.
So the greatest common factor 849,459,693 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 37/849, 433/459, 458/693

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 37/849, 433/459, 458/693?

Answer: LCM of Numerators as per given numbers 37/849, 433/459, 458/693 is

LCM of Numerators i.e. for 37,433,458 is 7337618

GCF of denominators i.e. for 849,459,693 is 3.

Thus, LCM of Fractions is 7337618/3.Finally, LCM of Fractions for 37/849, 433/459, 458/693 is 7337618/3.