Least Common Multiple of 49/470, 870/949, 525/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/470, 870/949, 525/539 quickly i.e. 213150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/470, 870/949, 525/539 is 213150.

LCM(49/470, 870/949, 525/539) = 213150

LCM of 49/470, 870/949, 525/539

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 49/470,870/949,525/539

Given numbers are 49/470,870/949,525/539

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 49,870,525

Least Common Multiple of Numerators i.e. LCM of 49,870,525 is 213150.

GCF of Denominators means GCF of 470,949,539 as per the given fractions.

GCF of 470,949,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,870,525

LCM of Fractions 49/470,870/949,525/539 is 213150

3 49, 870, 525
5 49, 290, 175
7 49, 58, 35
7, 58, 5

∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 58 x 5 = 213150

Least Common Multiple of 49,870,525 with GCF Formula

Least Common Multiple of 49,870,525 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 49,870,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,870,525) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(49,870,525) x common factors =1 x 105 = 105

LCM(49,870,525) = ( 49 × 870 × 525 ) / 105

LCM(49,870,525) = 22380750 / 105

LCM(49,870,525) = 213150


Lets's calculate GCF of 470,949,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213150/1

Therefore the LCM of Fractions 49/470,870/949,525/539 is 213150

Greatest Common Factor of 470,949,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,949,539 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 470,949,539 . The biggest common factor number is the GCF number.
So the greatest common factor 470,949,539 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 49/470, 870/949, 525/539

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 49/470, 870/949, 525/539?

Answer: LCM of Numerators as per given numbers 49/470, 870/949, 525/539 is

LCM of Numerators i.e. for 49,870,525 is 213150

GCF of denominators i.e. for 470,949,539 is 1.

Thus, LCM of Fractions is 213150.Finally, LCM of Fractions for 49/470, 870/949, 525/539 is 213150.