Least Common Multiple of 950/396, 115/116, 308/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 950/396, 115/116, 308/708 quickly i.e. 841225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 950/396, 115/116, 308/708 is 841225.

LCM(950/396, 115/116, 308/708) = 841225

LCM of 950/396, 115/116, 308/708

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 950/396,115/116,308/708

Given numbers are 950/396,115/116,308/708

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 950,115,308

Least Common Multiple of Numerators i.e. LCM of 950,115,308 is 3364900.

GCF of Denominators means GCF of 396,116,708 as per the given fractions.

GCF of 396,116,708 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 950,115,308

LCM of Fractions 950/396,115/116,308/708 is 841225

2 950, 115, 308
5 475, 115, 154
95, 23, 154

∴ So the LCM of the given numbers is 2 x 5 x 95 x 23 x 154 = 3364900

Least Common Multiple of 950,115,308 with GCF Formula

Least Common Multiple of 950,115,308 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 950,115,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,115,308) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(950,115,308) x common factors =1 x 10 = 10

LCM(950,115,308) = ( 950 × 115 × 308 ) / 10

LCM(950,115,308) = 33649000 / 10

LCM(950,115,308) = 3364900


Lets's calculate GCF of 396,116,708

2 396, 116, 708
2 198, 58, 354
99, 29, 177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3364900/4

Therefore the LCM of Fractions 950/396,115/116,308/708 is 841225

Greatest Common Factor of 396,116,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,116,708 By Matching Biggest Common Factor Method

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

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 396,116,708 . The biggest common factor number is the GCF number.
So the greatest common factor 396,116,708 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 950/396, 115/116, 308/708

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 950/396, 115/116, 308/708?

Answer: LCM of Numerators as per given numbers 950/396, 115/116, 308/708 is

LCM of Numerators i.e. for 950,115,308 is 3364900

GCF of denominators i.e. for 396,116,708 is 4.

Thus, LCM of Fractions is 841225.Finally, LCM of Fractions for 950/396, 115/116, 308/708 is 841225.