Least Common Multiple of 155/696, 156/396, 412/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 155/696, 156/396, 412/548 quickly i.e. 622635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 155/696, 156/396, 412/548 is 622635.

LCM(155/696, 156/396, 412/548) = 622635

LCM of 155/696, 156/396, 412/548

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 155/696,156/396,412/548

Given numbers are 155/696,156/396,412/548

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 155,156,412

Least Common Multiple of Numerators i.e. LCM of 155,156,412 is 2490540.

GCF of Denominators means GCF of 696,396,548 as per the given fractions.

GCF of 696,396,548 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 155,156,412

LCM of Fractions 155/696,156/396,412/548 is 622635

2 155, 156, 412
2 155, 78, 206
155, 39, 103

∴ So the LCM of the given numbers is 2 x 2 x 155 x 39 x 103 = 2490540

Least Common Multiple of 155,156,412 with GCF Formula

Least Common Multiple of 155,156,412 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 155,156,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,156,412) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(155,156,412) x common factors =1 x 4 = 4

LCM(155,156,412) = ( 155 × 156 × 412 ) / 4

LCM(155,156,412) = 9962160 / 4

LCM(155,156,412) = 2490540


Lets's calculate GCF of 696,396,548

2 696, 396, 548
2 348, 198, 274
174, 99, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2490540/4

Therefore the LCM of Fractions 155/696,156/396,412/548 is 622635

Greatest Common Factor of 696,396,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,396,548 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

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 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 696,396,548 . The biggest common factor number is the GCF number.
So the greatest common factor 696,396,548 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 155/696, 156/396, 412/548

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 155/696, 156/396, 412/548?

Answer: LCM of Numerators as per given numbers 155/696, 156/396, 412/548 is

LCM of Numerators i.e. for 155,156,412 is 2490540

GCF of denominators i.e. for 696,396,548 is 4.

Thus, LCM of Fractions is 622635.Finally, LCM of Fractions for 155/696, 156/396, 412/548 is 622635.