Least Common Multiple of 970/76, 802/7488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/76, 802/7488 quickly i.e. 388970/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/76, 802/7488 is 388970/4.

LCM(970/76, 802/7488) = 388970/4

LCM of 970/76, 802/7488

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 970/76,802/7488

Given numbers are 970/76,802/7488

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 970,802

Least Common Multiple of Numerators i.e. LCM of 970,802 is 388970.

GCF of Denominators means GCF of 76,7488 as per the given fractions.

GCF of 76,7488 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,802

LCM of Fractions 970/76,802/7488 is 388970/4

2 970, 802
485, 401

∴ So the LCM of the given numbers is 2 x 485 x 401 = 388970

Least Common Multiple of 970,802 with GCF Formula

Least Common Multiple of 970,802 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 970,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,802) = 2

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

GCF(970,802) x common factors =2 x 1 = 2

LCM(970,802) = ( 970 × 802 ) / 2

LCM(970,802) = 777940 / 2

LCM(970,802) = 388970


Lets's calculate GCF of 76,7488

2 76, 7488
2 38, 3744
19, 1872

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388970/4

Therefore the LCM of Fractions 970/76,802/7488 is 388970/4

Greatest Common Factor of 76,7488 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,7488 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors 76,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 76,7488 is 4.


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 970/76, 802/7488

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 970/76, 802/7488?

Answer: LCM of Numerators as per given numbers 970/76, 802/7488 is

LCM of Numerators i.e. for 970,802 is 388970

GCF of denominators i.e. for 76,7488 is 4.

Thus, LCM of Fractions is 388970/4.Finally, LCM of Fractions for 970/76, 802/7488 is 388970/4.