Least Common Multiple of 70/212, 7416/5402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/212, 7416/5402 quickly i.e. 129780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/212, 7416/5402 is 129780.

LCM(70/212, 7416/5402) = 129780

LCM of 70/212, 7416/5402

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 70/212,7416/5402

Given numbers are 70/212,7416/5402

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 70,7416

Least Common Multiple of Numerators i.e. LCM of 70,7416 is 259560.

GCF of Denominators means GCF of 212,5402 as per the given fractions.

GCF of 212,5402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,7416

LCM of Fractions 70/212,7416/5402 is 129780

2 70, 7416
35, 3708

∴ So the LCM of the given numbers is 2 x 35 x 3708 = 259560

Least Common Multiple of 70,7416 with GCF Formula

Least Common Multiple of 70,7416 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 70,7416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,7416) = 2

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

GCF(70,7416) x common factors =2 x 1 = 2

LCM(70,7416) = ( 70 × 7416 ) / 2

LCM(70,7416) = 519120 / 2

LCM(70,7416) = 259560


Lets's calculate GCF of 212,5402

2 212, 5402
106, 2701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259560/2

Therefore the LCM of Fractions 70/212,7416/5402 is 129780

Greatest Common Factor of 212,5402 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,5402 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1,2,37,73,74,146,2701,5402

Greatest Common Factor

We found the factors 212,5402 . The biggest common factor number is the GCF number.
So the greatest common factor 212,5402 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 70/212, 7416/5402

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 70/212, 7416/5402?

Answer: LCM of Numerators as per given numbers 70/212, 7416/5402 is

LCM of Numerators i.e. for 70,7416 is 259560

GCF of denominators i.e. for 212,5402 is 2.

Thus, LCM of Fractions is 129780.Finally, LCM of Fractions for 70/212, 7416/5402 is 129780.