Least Common Multiple of 749/887, 800/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 749/887, 800/602 quickly i.e. 599200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/887, 800/602 is 599200.

LCM(749/887, 800/602) = 599200

LCM of 749/887, 800/602

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 749/887,800/602

Given numbers are 749/887,800/602

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 749,800

Least Common Multiple of Numerators i.e. LCM of 749,800 is 599200.

GCF of Denominators means GCF of 887,602 as per the given fractions.

GCF of 887,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,800

LCM of Fractions 749/887,800/602 is 599200

Given numbers has no common factors except 1. So, there LCM is their product i.e 599200

Least Common Multiple of 749,800 with GCF Formula

Least Common Multiple of 749,800 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 749,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,800) = 1

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

GCF(749,800) x common factors =1 x 1 = 1

LCM(749,800) = ( 749 × 800 ) / 1

LCM(749,800) = 599200 / 1

LCM(749,800) = 599200


Lets's calculate GCF of 887,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599200/1

Therefore the LCM of Fractions 749/887,800/602 is 599200

Greatest Common Factor of 887,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,602 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 887,602 . The biggest common factor number is the GCF number.
So the greatest common factor 887,602 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 749/887, 800/602

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 749/887, 800/602?

Answer: LCM of Numerators as per given numbers 749/887, 800/602 is

LCM of Numerators i.e. for 749,800 is 599200

GCF of denominators i.e. for 887,602 is 1.

Thus, LCM of Fractions is 599200.Finally, LCM of Fractions for 749/887, 800/602 is 599200.