Least Common Multiple of 754/417, 960/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/417, 960/105 quickly i.e. 120640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/417, 960/105 is 120640.

LCM(754/417, 960/105) = 120640

LCM of 754/417, 960/105

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 754/417,960/105

Given numbers are 754/417,960/105

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 754,960

Least Common Multiple of Numerators i.e. LCM of 754,960 is 361920.

GCF of Denominators means GCF of 417,105 as per the given fractions.

GCF of 417,105 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,960

LCM of Fractions 754/417,960/105 is 120640

2 754, 960
377, 480

∴ So the LCM of the given numbers is 2 x 377 x 480 = 361920

Least Common Multiple of 754,960 with GCF Formula

Least Common Multiple of 754,960 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 754,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,960) = 2

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

GCF(754,960) x common factors =2 x 1 = 2

LCM(754,960) = ( 754 × 960 ) / 2

LCM(754,960) = 723840 / 2

LCM(754,960) = 361920


Lets's calculate GCF of 417,105

3 417, 105
139, 35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361920/3

Therefore the LCM of Fractions 754/417,960/105 is 120640

Greatest Common Factor of 417,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,105 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 417,105 . The biggest common factor number is the GCF number.
So the greatest common factor 417,105 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 754/417, 960/105

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 754/417, 960/105?

Answer: LCM of Numerators as per given numbers 754/417, 960/105 is

LCM of Numerators i.e. for 754,960 is 361920

GCF of denominators i.e. for 417,105 is 3.

Thus, LCM of Fractions is 120640.Finally, LCM of Fractions for 754/417, 960/105 is 120640.