Least Common Multiple of 54/962, 426/964, 588/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/962, 426/964, 588/830 quickly i.e. 187866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/962, 426/964, 588/830 is 187866.

LCM(54/962, 426/964, 588/830) = 187866

LCM of 54/962, 426/964, 588/830

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 54/962,426/964,588/830

Given numbers are 54/962,426/964,588/830

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 54,426,588

Least Common Multiple of Numerators i.e. LCM of 54,426,588 is 375732.

GCF of Denominators means GCF of 962,964,830 as per the given fractions.

GCF of 962,964,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,426,588

LCM of Fractions 54/962,426/964,588/830 is 187866

2 54, 426, 588
3 27, 213, 294
9, 71, 98

∴ So the LCM of the given numbers is 2 x 3 x 9 x 71 x 98 = 375732

Least Common Multiple of 54,426,588 with GCF Formula

Least Common Multiple of 54,426,588 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 54,426,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,426,588) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(54,426,588) x common factors =6 x 6 = 36

LCM(54,426,588) = ( 54 × 426 × 588 ) / 36

LCM(54,426,588) = 13526352 / 36

LCM(54,426,588) = 375732


Lets's calculate GCF of 962,964,830

2 962, 964, 830
481, 482, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375732/2

Therefore the LCM of Fractions 54/962,426/964,588/830 is 187866

Greatest Common Factor of 962,964,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,964,830 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 962,964,830 . The biggest common factor number is the GCF number.
So the greatest common factor 962,964,830 is 2.


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 54/962, 426/964, 588/830

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 54/962, 426/964, 588/830?

Answer: LCM of Numerators as per given numbers 54/962, 426/964, 588/830 is

LCM of Numerators i.e. for 54,426,588 is 375732

GCF of denominators i.e. for 962,964,830 is 2.

Thus, LCM of Fractions is 187866.Finally, LCM of Fractions for 54/962, 426/964, 588/830 is 187866.