Least Common Multiple of 75/910, 6670/9456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/910, 6670/9456 quickly i.e. 50025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/910, 6670/9456 is 50025.

LCM(75/910, 6670/9456) = 50025

LCM of 75/910, 6670/9456

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 75/910,6670/9456

Given numbers are 75/910,6670/9456

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 75,6670

Least Common Multiple of Numerators i.e. LCM of 75,6670 is 100050.

GCF of Denominators means GCF of 910,9456 as per the given fractions.

GCF of 910,9456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,6670

LCM of Fractions 75/910,6670/9456 is 50025

5 75, 6670
15, 1334

∴ So the LCM of the given numbers is 5 x 15 x 1334 = 100050

Least Common Multiple of 75,6670 with GCF Formula

Least Common Multiple of 75,6670 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 75,6670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,6670) = 5

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

GCF(75,6670) x common factors =5 x 1 = 5

LCM(75,6670) = ( 75 × 6670 ) / 5

LCM(75,6670) = 500250 / 5

LCM(75,6670) = 100050


Lets's calculate GCF of 910,9456

2 910, 9456
455, 4728

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100050/2

Therefore the LCM of Fractions 75/910,6670/9456 is 50025

Greatest Common Factor of 910,9456 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,9456 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456

Greatest Common Factor

We found the factors 910,9456 . The biggest common factor number is the GCF number.
So the greatest common factor 910,9456 is 2.


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 75/910, 6670/9456

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 75/910, 6670/9456?

Answer: LCM of Numerators as per given numbers 75/910, 6670/9456 is

LCM of Numerators i.e. for 75,6670 is 100050

GCF of denominators i.e. for 910,9456 is 2.

Thus, LCM of Fractions is 50025.Finally, LCM of Fractions for 75/910, 6670/9456 is 50025.