Least Common Multiple of 70/584, 77/930, 296/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/584, 77/930, 296/631 quickly i.e. 113960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/584, 77/930, 296/631 is 113960.

LCM(70/584, 77/930, 296/631) = 113960

LCM of 70/584, 77/930, 296/631

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 70/584,77/930,296/631

Given numbers are 70/584,77/930,296/631

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 70,77,296

Least Common Multiple of Numerators i.e. LCM of 70,77,296 is 113960.

GCF of Denominators means GCF of 584,930,631 as per the given fractions.

GCF of 584,930,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,77,296

LCM of Fractions 70/584,77/930,296/631 is 113960

2 70, 77, 296
7 35, 77, 148
5, 11, 148

∴ So the LCM of the given numbers is 2 x 7 x 5 x 11 x 148 = 113960

Least Common Multiple of 70,77,296 with GCF Formula

Least Common Multiple of 70,77,296 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 70,77,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,77,296) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(70,77,296) x common factors =1 x 14 = 14

LCM(70,77,296) = ( 70 × 77 × 296 ) / 14

LCM(70,77,296) = 1595440 / 14

LCM(70,77,296) = 113960


Lets's calculate GCF of 584,930,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113960/1

Therefore the LCM of Fractions 70/584,77/930,296/631 is 113960

Greatest Common Factor of 584,930,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,930,631 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 584,930,631 . The biggest common factor number is the GCF number.
So the greatest common factor 584,930,631 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 70/584, 77/930, 296/631

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 70/584, 77/930, 296/631?

Answer: LCM of Numerators as per given numbers 70/584, 77/930, 296/631 is

LCM of Numerators i.e. for 70,77,296 is 113960

GCF of denominators i.e. for 584,930,631 is 1.

Thus, LCM of Fractions is 113960.Finally, LCM of Fractions for 70/584, 77/930, 296/631 is 113960.