Least Common Multiple of 470/139, 318/258, 689/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/139, 318/258, 689/952 quickly i.e. 971490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/139, 318/258, 689/952 is 971490.

LCM(470/139, 318/258, 689/952) = 971490

LCM of 470/139, 318/258, 689/952

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 470/139,318/258,689/952

Given numbers are 470/139,318/258,689/952

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 470,318,689

Least Common Multiple of Numerators i.e. LCM of 470,318,689 is 971490.

GCF of Denominators means GCF of 139,258,952 as per the given fractions.

GCF of 139,258,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,318,689

LCM of Fractions 470/139,318/258,689/952 is 971490

2 470, 318, 689
53 235, 159, 689
235, 3, 13

∴ So the LCM of the given numbers is 2 x 53 x 235 x 3 x 13 = 971490

Least Common Multiple of 470,318,689 with GCF Formula

Least Common Multiple of 470,318,689 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 470,318,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,318,689) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(470,318,689) x common factors =1 x 106 = 106

LCM(470,318,689) = ( 470 × 318 × 689 ) / 106

LCM(470,318,689) = 102977940 / 106

LCM(470,318,689) = 971490


Lets's calculate GCF of 139,258,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 971490/1

Therefore the LCM of Fractions 470/139,318/258,689/952 is 971490

Greatest Common Factor of 139,258,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,258,952 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 139,258,952 . The biggest common factor number is the GCF number.
So the greatest common factor 139,258,952 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 470/139, 318/258, 689/952

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 470/139, 318/258, 689/952?

Answer: LCM of Numerators as per given numbers 470/139, 318/258, 689/952 is

LCM of Numerators i.e. for 470,318,689 is 971490

GCF of denominators i.e. for 139,258,952 is 1.

Thus, LCM of Fractions is 971490.Finally, LCM of Fractions for 470/139, 318/258, 689/952 is 971490.