Least Common Multiple of 70/130, 83/421, 257/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/130, 83/421, 257/913 quickly i.e. 1493170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/130, 83/421, 257/913 is 1493170.

LCM(70/130, 83/421, 257/913) = 1493170

LCM of 70/130, 83/421, 257/913

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 70/130,83/421,257/913

Given numbers are 70/130,83/421,257/913

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 70,83,257

Least Common Multiple of Numerators i.e. LCM of 70,83,257 is 1493170.

GCF of Denominators means GCF of 130,421,913 as per the given fractions.

GCF of 130,421,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,83,257

LCM of Fractions 70/130,83/421,257/913 is 1493170

Given numbers has no common factors except 1. So, there LCM is their product i.e 1493170

Least Common Multiple of 70,83,257 with GCF Formula

Least Common Multiple of 70,83,257 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 70,83,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,83,257) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(70,83,257) x common factors =1 x 1 = 1

LCM(70,83,257) = ( 70 × 83 × 257 ) / 1

LCM(70,83,257) = 1493170 / 1

LCM(70,83,257) = 1493170


Lets's calculate GCF of 130,421,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1493170/1

Therefore the LCM of Fractions 70/130,83/421,257/913 is 1493170

Greatest Common Factor of 130,421,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,421,913 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 130,421,913 . The biggest common factor number is the GCF number.
So the greatest common factor 130,421,913 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 70/130, 83/421, 257/913

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 70/130, 83/421, 257/913?

Answer: LCM of Numerators as per given numbers 70/130, 83/421, 257/913 is

LCM of Numerators i.e. for 70,83,257 is 1493170

GCF of denominators i.e. for 130,421,913 is 1.

Thus, LCM of Fractions is 1493170.Finally, LCM of Fractions for 70/130, 83/421, 257/913 is 1493170.