Least Common Multiple of 76/456, 800/732, 150/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/456, 800/732, 150/211 quickly i.e. 45600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/456, 800/732, 150/211 is 45600.

LCM(76/456, 800/732, 150/211) = 45600

LCM of 76/456, 800/732, 150/211

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 76/456,800/732,150/211

Given numbers are 76/456,800/732,150/211

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 76,800,150

Least Common Multiple of Numerators i.e. LCM of 76,800,150 is 45600.

GCF of Denominators means GCF of 456,732,211 as per the given fractions.

GCF of 456,732,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,800,150

LCM of Fractions 76/456,800/732,150/211 is 45600

2 76, 800, 150
2 38, 400, 75
5 19, 200, 75
5 19, 40, 15
19, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 19 x 8 x 3 = 45600

Least Common Multiple of 76,800,150 with GCF Formula

Least Common Multiple of 76,800,150 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 76,800,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,800,150) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(76,800,150) x common factors =2 x 100 = 200

LCM(76,800,150) = ( 76 × 800 × 150 ) / 200

LCM(76,800,150) = 9120000 / 200

LCM(76,800,150) = 45600


Lets's calculate GCF of 456,732,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45600/1

Therefore the LCM of Fractions 76/456,800/732,150/211 is 45600

Greatest Common Factor of 456,732,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,732,211 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 456,732,211 . The biggest common factor number is the GCF number.
So the greatest common factor 456,732,211 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/456, 800/732, 150/211

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 76/456, 800/732, 150/211?

Answer: LCM of Numerators as per given numbers 76/456, 800/732, 150/211 is

LCM of Numerators i.e. for 76,800,150 is 45600

GCF of denominators i.e. for 456,732,211 is 1.

Thus, LCM of Fractions is 45600.Finally, LCM of Fractions for 76/456, 800/732, 150/211 is 45600.