Least Common Multiple of 913/51, 462/87, 440/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 913/51, 462/87, 440/298 quickly i.e. 766920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/51, 462/87, 440/298 is 766920.

LCM(913/51, 462/87, 440/298) = 766920

LCM of 913/51, 462/87, 440/298

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 913/51,462/87,440/298

Given numbers are 913/51,462/87,440/298

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 913,462,440

Least Common Multiple of Numerators i.e. LCM of 913,462,440 is 766920.

GCF of Denominators means GCF of 51,87,298 as per the given fractions.

GCF of 51,87,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,462,440

LCM of Fractions 913/51,462/87,440/298 is 766920

2 913, 462, 440
11 913, 231, 220
83, 21, 20

∴ So the LCM of the given numbers is 2 x 11 x 83 x 21 x 20 = 766920

Least Common Multiple of 913,462,440 with GCF Formula

Least Common Multiple of 913,462,440 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 913,462,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,462,440) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(913,462,440) x common factors =11 x 22 = 242

LCM(913,462,440) = ( 913 × 462 × 440 ) / 242

LCM(913,462,440) = 185594640 / 242

LCM(913,462,440) = 766920


Lets's calculate GCF of 51,87,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 766920/1

Therefore the LCM of Fractions 913/51,462/87,440/298 is 766920

Greatest Common Factor of 51,87,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,87,298 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 51,87,298 . The biggest common factor number is the GCF number.
So the greatest common factor 51,87,298 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 913/51, 462/87, 440/298

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 913/51, 462/87, 440/298?

Answer: LCM of Numerators as per given numbers 913/51, 462/87, 440/298 is

LCM of Numerators i.e. for 913,462,440 is 766920

GCF of denominators i.e. for 51,87,298 is 1.

Thus, LCM of Fractions is 766920.Finally, LCM of Fractions for 913/51, 462/87, 440/298 is 766920.