Least Common Multiple of 741/25, 900/68, 912/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/25, 900/68, 912/726 quickly i.e. 889200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/25, 900/68, 912/726 is 889200.

LCM(741/25, 900/68, 912/726) = 889200

LCM of 741/25, 900/68, 912/726

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 741/25,900/68,912/726

Given numbers are 741/25,900/68,912/726

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 741,900,912

Least Common Multiple of Numerators i.e. LCM of 741,900,912 is 889200.

GCF of Denominators means GCF of 25,68,726 as per the given fractions.

GCF of 25,68,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,900,912

LCM of Fractions 741/25,900/68,912/726 is 889200

2 741, 900, 912
2 741, 450, 456
3 741, 225, 228
19 247, 75, 76
13, 75, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 13 x 75 x 4 = 889200

Least Common Multiple of 741,900,912 with GCF Formula

Least Common Multiple of 741,900,912 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 741,900,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,900,912) = 3

common factors(in case of two or more numbers have common factors) = 228

GCF(741,900,912) x common factors =3 x 228 = 684

LCM(741,900,912) = ( 741 × 900 × 912 ) / 684

LCM(741,900,912) = 608212800 / 684

LCM(741,900,912) = 889200


Lets's calculate GCF of 25,68,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 889200/1

Therefore the LCM of Fractions 741/25,900/68,912/726 is 889200

Greatest Common Factor of 25,68,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,68,726 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 25,68,726 . The biggest common factor number is the GCF number.
So the greatest common factor 25,68,726 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 741/25, 900/68, 912/726

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 741/25, 900/68, 912/726?

Answer: LCM of Numerators as per given numbers 741/25, 900/68, 912/726 is

LCM of Numerators i.e. for 741,900,912 is 889200

GCF of denominators i.e. for 25,68,726 is 1.

Thus, LCM of Fractions is 889200.Finally, LCM of Fractions for 741/25, 900/68, 912/726 is 889200.