Least Common Multiple of 970/30, 380/6263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/30, 380/6263 quickly i.e. 36860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/30, 380/6263 is 36860.

LCM(970/30, 380/6263) = 36860

LCM of 970/30, 380/6263

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 970/30,380/6263

Given numbers are 970/30,380/6263

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 970,380

Least Common Multiple of Numerators i.e. LCM of 970,380 is 36860.

GCF of Denominators means GCF of 30,6263 as per the given fractions.

GCF of 30,6263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,380

LCM of Fractions 970/30,380/6263 is 36860

2 970, 380
5 485, 190
97, 38

∴ So the LCM of the given numbers is 2 x 5 x 97 x 38 = 36860

Least Common Multiple of 970,380 with GCF Formula

Least Common Multiple of 970,380 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 970,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,380) = 10

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

GCF(970,380) x common factors =10 x 1 = 10

LCM(970,380) = ( 970 × 380 ) / 10

LCM(970,380) = 368600 / 10

LCM(970,380) = 36860


Lets's calculate GCF of 30,6263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36860/1

Therefore the LCM of Fractions 970/30,380/6263 is 36860

Greatest Common Factor of 30,6263 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,6263 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 6263

List of positive integer factors of 6263 that divides 6263 without a remainder.

1,6263

Greatest Common Factor

We found the factors 30,6263 . The biggest common factor number is the GCF number.
So the greatest common factor 30,6263 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 970/30, 380/6263

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 970/30, 380/6263?

Answer: LCM of Numerators as per given numbers 970/30, 380/6263 is

LCM of Numerators i.e. for 970,380 is 36860

GCF of denominators i.e. for 30,6263 is 1.

Thus, LCM of Fractions is 36860.Finally, LCM of Fractions for 970/30, 380/6263 is 36860.