Least Common Multiple of 99/668, 155/700, 784/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/668, 155/700, 784/396 quickly i.e. 3007620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/668, 155/700, 784/396 is 3007620.

LCM(99/668, 155/700, 784/396) = 3007620

LCM of 99/668, 155/700, 784/396

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 99/668,155/700,784/396

Given numbers are 99/668,155/700,784/396

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 99,155,784

Least Common Multiple of Numerators i.e. LCM of 99,155,784 is 12030480.

GCF of Denominators means GCF of 668,700,396 as per the given fractions.

GCF of 668,700,396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,155,784

LCM of Fractions 99/668,155/700,784/396 is 3007620

Given numbers has no common factors except 1. So, there LCM is their product i.e 12030480

Least Common Multiple of 99,155,784 with GCF Formula

Least Common Multiple of 99,155,784 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 99,155,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,155,784) = 1

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

GCF(99,155,784) x common factors =1 x 1 = 1

LCM(99,155,784) = ( 99 × 155 × 784 ) / 1

LCM(99,155,784) = 12030480 / 1

LCM(99,155,784) = 12030480


Lets's calculate GCF of 668,700,396

2 668, 700, 396
2 334, 350, 198
167, 175, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12030480/4

Therefore the LCM of Fractions 99/668,155/700,784/396 is 3007620

Greatest Common Factor of 668,700,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,700,396 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 668,700,396 . The biggest common factor number is the GCF number.
So the greatest common factor 668,700,396 is 4.


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Frequently Asked Questions on Fractional LCM of 99/668, 155/700, 784/396

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 99/668, 155/700, 784/396?

Answer: LCM of Numerators as per given numbers 99/668, 155/700, 784/396 is

LCM of Numerators i.e. for 99,155,784 is 12030480

GCF of denominators i.e. for 668,700,396 is 4.

Thus, LCM of Fractions is 3007620.Finally, LCM of Fractions for 99/668, 155/700, 784/396 is 3007620.