Least Common Multiple of 1350/954, 4224/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1350/954, 4224/765 quickly i.e. 105600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1350/954, 4224/765 is 105600.

LCM(1350/954, 4224/765) = 105600

LCM of 1350/954, 4224/765

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 1350/954,4224/765

Given numbers are 1350/954,4224/765

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 1350,4224

Least Common Multiple of Numerators i.e. LCM of 1350,4224 is 950400.

GCF of Denominators means GCF of 954,765 as per the given fractions.

GCF of 954,765 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1350,4224

LCM of Fractions 1350/954,4224/765 is 105600

2 1350, 4224
3 675, 2112
225, 704

∴ So the LCM of the given numbers is 2 x 3 x 225 x 704 = 950400

Least Common Multiple of 1350,4224 with GCF Formula

Least Common Multiple of 1350,4224 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 1350,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1350,4224) = 6

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

GCF(1350,4224) x common factors =6 x 1 = 6

LCM(1350,4224) = ( 1350 × 4224 ) / 6

LCM(1350,4224) = 5702400 / 6

LCM(1350,4224) = 950400


Lets's calculate GCF of 954,765

3 954, 765
3 318, 255
106, 85

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 950400/9

Therefore the LCM of Fractions 1350/954,4224/765 is 105600

Greatest Common Factor of 954,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,765 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 954,765 . The biggest common factor number is the GCF number.
So the greatest common factor 954,765 is 9.


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 1350/954, 4224/765

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 1350/954, 4224/765?

Answer: LCM of Numerators as per given numbers 1350/954, 4224/765 is

LCM of Numerators i.e. for 1350,4224 is 950400

GCF of denominators i.e. for 954,765 is 9.

Thus, LCM of Fractions is 105600.Finally, LCM of Fractions for 1350/954, 4224/765 is 105600.