Least Common Multiple of 68/744, 510/44, 987/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/744, 510/44, 987/448 quickly i.e. 83895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/744, 510/44, 987/448 is 83895.

LCM(68/744, 510/44, 987/448) = 83895

LCM of 68/744, 510/44, 987/448

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 68/744,510/44,987/448

Given numbers are 68/744,510/44,987/448

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 68,510,987

Least Common Multiple of Numerators i.e. LCM of 68,510,987 is 335580.

GCF of Denominators means GCF of 744,44,448 as per the given fractions.

GCF of 744,44,448 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,510,987

LCM of Fractions 68/744,510/44,987/448 is 83895

2 68, 510, 987
3 34, 255, 987
17 34, 85, 329
2, 5, 329

∴ So the LCM of the given numbers is 2 x 3 x 17 x 2 x 5 x 329 = 335580

Least Common Multiple of 68,510,987 with GCF Formula

Least Common Multiple of 68,510,987 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 68,510,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,510,987) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(68,510,987) x common factors =1 x 102 = 102

LCM(68,510,987) = ( 68 × 510 × 987 ) / 102

LCM(68,510,987) = 34229160 / 102

LCM(68,510,987) = 335580


Lets's calculate GCF of 744,44,448

2 744, 44, 448
2 372, 22, 224
186, 11, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335580/4

Therefore the LCM of Fractions 68/744,510/44,987/448 is 83895

Greatest Common Factor of 744,44,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,44,448 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 744,44,448 . The biggest common factor number is the GCF number.
So the greatest common factor 744,44,448 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 68/744, 510/44, 987/448

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 68/744, 510/44, 987/448?

Answer: LCM of Numerators as per given numbers 68/744, 510/44, 987/448 is

LCM of Numerators i.e. for 68,510,987 is 335580

GCF of denominators i.e. for 744,44,448 is 4.

Thus, LCM of Fractions is 83895.Finally, LCM of Fractions for 68/744, 510/44, 987/448 is 83895.