Least Common Multiple of 70/382, 4658/5070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/382, 4658/5070 quickly i.e. 81515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/382, 4658/5070 is 81515.

LCM(70/382, 4658/5070) = 81515

LCM of 70/382, 4658/5070

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 70/382,4658/5070

Given numbers are 70/382,4658/5070

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 70,4658

Least Common Multiple of Numerators i.e. LCM of 70,4658 is 163030.

GCF of Denominators means GCF of 382,5070 as per the given fractions.

GCF of 382,5070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,4658

LCM of Fractions 70/382,4658/5070 is 81515

2 70, 4658
35, 2329

∴ So the LCM of the given numbers is 2 x 35 x 2329 = 163030

Least Common Multiple of 70,4658 with GCF Formula

Least Common Multiple of 70,4658 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 70,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,4658) = 2

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

GCF(70,4658) x common factors =2 x 1 = 2

LCM(70,4658) = ( 70 × 4658 ) / 2

LCM(70,4658) = 326060 / 2

LCM(70,4658) = 163030


Lets's calculate GCF of 382,5070

2 382, 5070
191, 2535

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163030/2

Therefore the LCM of Fractions 70/382,4658/5070 is 81515

Greatest Common Factor of 382,5070 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,5070 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070

Greatest Common Factor

We found the factors 382,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 382,5070 is 2.


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 70/382, 4658/5070

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 70/382, 4658/5070?

Answer: LCM of Numerators as per given numbers 70/382, 4658/5070 is

LCM of Numerators i.e. for 70,4658 is 163030

GCF of denominators i.e. for 382,5070 is 2.

Thus, LCM of Fractions is 81515.Finally, LCM of Fractions for 70/382, 4658/5070 is 81515.