Least Common Multiple of 375/993, 688/559, 737/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 375/993, 688/559, 737/464 quickly i.e. 190146000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/993, 688/559, 737/464 is 190146000.

LCM(375/993, 688/559, 737/464) = 190146000

LCM of 375/993, 688/559, 737/464

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 375/993,688/559,737/464

Given numbers are 375/993,688/559,737/464

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 375,688,737

Least Common Multiple of Numerators i.e. LCM of 375,688,737 is 190146000.

GCF of Denominators means GCF of 993,559,464 as per the given fractions.

GCF of 993,559,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,688,737

LCM of Fractions 375/993,688/559,737/464 is 190146000

Given numbers has no common factors except 1. So, there LCM is their product i.e 190146000

Least Common Multiple of 375,688,737 with GCF Formula

Least Common Multiple of 375,688,737 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 375,688,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,688,737) = 1

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

GCF(375,688,737) x common factors =1 x 1 = 1

LCM(375,688,737) = ( 375 × 688 × 737 ) / 1

LCM(375,688,737) = 190146000 / 1

LCM(375,688,737) = 190146000


Lets's calculate GCF of 993,559,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190146000/1

Therefore the LCM of Fractions 375/993,688/559,737/464 is 190146000

Greatest Common Factor of 993,559,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,559,464 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 993,559,464 . The biggest common factor number is the GCF number.
So the greatest common factor 993,559,464 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 375/993, 688/559, 737/464

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 375/993, 688/559, 737/464?

Answer: LCM of Numerators as per given numbers 375/993, 688/559, 737/464 is

LCM of Numerators i.e. for 375,688,737 is 190146000

GCF of denominators i.e. for 993,559,464 is 1.

Thus, LCM of Fractions is 190146000.Finally, LCM of Fractions for 375/993, 688/559, 737/464 is 190146000.