Least Common Multiple of 30/778, 9422/6070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/778, 9422/6070 quickly i.e. 70665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/778, 9422/6070 is 70665.

LCM(30/778, 9422/6070) = 70665

LCM of 30/778, 9422/6070

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 30/778,9422/6070

Given numbers are 30/778,9422/6070

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 30,9422

Least Common Multiple of Numerators i.e. LCM of 30,9422 is 141330.

GCF of Denominators means GCF of 778,6070 as per the given fractions.

GCF of 778,6070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,9422

LCM of Fractions 30/778,9422/6070 is 70665

2 30, 9422
15, 4711

∴ So the LCM of the given numbers is 2 x 15 x 4711 = 141330

Least Common Multiple of 30,9422 with GCF Formula

Least Common Multiple of 30,9422 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 30,9422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,9422) = 2

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

GCF(30,9422) x common factors =2 x 1 = 2

LCM(30,9422) = ( 30 × 9422 ) / 2

LCM(30,9422) = 282660 / 2

LCM(30,9422) = 141330


Lets's calculate GCF of 778,6070

2 778, 6070
389, 3035

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141330/2

Therefore the LCM of Fractions 30/778,9422/6070 is 70665

Greatest Common Factor of 778,6070 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,6070 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1,2,5,10,607,1214,3035,6070

Greatest Common Factor

We found the factors 778,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 778,6070 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 30/778, 9422/6070

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 30/778, 9422/6070?

Answer: LCM of Numerators as per given numbers 30/778, 9422/6070 is

LCM of Numerators i.e. for 30,9422 is 141330

GCF of denominators i.e. for 778,6070 is 2.

Thus, LCM of Fractions is 70665.Finally, LCM of Fractions for 30/778, 9422/6070 is 70665.