Least Common Multiple of 75/759, 814/617, 147/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/759, 814/617, 147/276 quickly i.e. 2991450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/759, 814/617, 147/276 is 2991450.

LCM(75/759, 814/617, 147/276) = 2991450

LCM of 75/759, 814/617, 147/276

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 75/759,814/617,147/276

Given numbers are 75/759,814/617,147/276

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 75,814,147

Least Common Multiple of Numerators i.e. LCM of 75,814,147 is 2991450.

GCF of Denominators means GCF of 759,617,276 as per the given fractions.

GCF of 759,617,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,814,147

LCM of Fractions 75/759,814/617,147/276 is 2991450

3 75, 814, 147
25, 814, 49

∴ So the LCM of the given numbers is 3 x 25 x 814 x 49 = 2991450

Least Common Multiple of 75,814,147 with GCF Formula

Least Common Multiple of 75,814,147 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 75,814,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,814,147) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,814,147) x common factors =1 x 3 = 3

LCM(75,814,147) = ( 75 × 814 × 147 ) / 3

LCM(75,814,147) = 8974350 / 3

LCM(75,814,147) = 2991450


Lets's calculate GCF of 759,617,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2991450/1

Therefore the LCM of Fractions 75/759,814/617,147/276 is 2991450

Greatest Common Factor of 759,617,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,617,276 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 759,617,276 . The biggest common factor number is the GCF number.
So the greatest common factor 759,617,276 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 75/759, 814/617, 147/276

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 75/759, 814/617, 147/276?

Answer: LCM of Numerators as per given numbers 75/759, 814/617, 147/276 is

LCM of Numerators i.e. for 75,814,147 is 2991450

GCF of denominators i.e. for 759,617,276 is 1.

Thus, LCM of Fractions is 2991450.Finally, LCM of Fractions for 75/759, 814/617, 147/276 is 2991450.