Least Common Multiple of 456/417, 790/302, 784/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/417, 790/302, 784/845 quickly i.e. 17651760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/417, 790/302, 784/845 is 17651760.

LCM(456/417, 790/302, 784/845) = 17651760

LCM of 456/417, 790/302, 784/845

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 456/417,790/302,784/845

Given numbers are 456/417,790/302,784/845

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 456,790,784

Least Common Multiple of Numerators i.e. LCM of 456,790,784 is 17651760.

GCF of Denominators means GCF of 417,302,845 as per the given fractions.

GCF of 417,302,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,790,784

LCM of Fractions 456/417,790/302,784/845 is 17651760

2 456, 790, 784
2 228, 395, 392
2 114, 395, 196
57, 395, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 395 x 98 = 17651760

Least Common Multiple of 456,790,784 with GCF Formula

Least Common Multiple of 456,790,784 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 456,790,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,790,784) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(456,790,784) x common factors =2 x 8 = 16

LCM(456,790,784) = ( 456 × 790 × 784 ) / 16

LCM(456,790,784) = 282428160 / 16

LCM(456,790,784) = 17651760


Lets's calculate GCF of 417,302,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17651760/1

Therefore the LCM of Fractions 456/417,790/302,784/845 is 17651760

Greatest Common Factor of 417,302,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,302,845 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 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 417,302,845 . The biggest common factor number is the GCF number.
So the greatest common factor 417,302,845 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 456/417, 790/302, 784/845

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 456/417, 790/302, 784/845?

Answer: LCM of Numerators as per given numbers 456/417, 790/302, 784/845 is

LCM of Numerators i.e. for 456,790,784 is 17651760

GCF of denominators i.e. for 417,302,845 is 1.

Thus, LCM of Fractions is 17651760.Finally, LCM of Fractions for 456/417, 790/302, 784/845 is 17651760.