Least Common Multiple of 930/61, 425/24, 435/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 930/61, 425/24, 435/786 quickly i.e. 2292450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/61, 425/24, 435/786 is 2292450.

LCM(930/61, 425/24, 435/786) = 2292450

LCM of 930/61, 425/24, 435/786

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 930/61,425/24,435/786

Given numbers are 930/61,425/24,435/786

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 930,425,435

Least Common Multiple of Numerators i.e. LCM of 930,425,435 is 2292450.

GCF of Denominators means GCF of 61,24,786 as per the given fractions.

GCF of 61,24,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,425,435

LCM of Fractions 930/61,425/24,435/786 is 2292450

3 930, 425, 435
5 310, 425, 145
62, 85, 29

∴ So the LCM of the given numbers is 3 x 5 x 62 x 85 x 29 = 2292450

Least Common Multiple of 930,425,435 with GCF Formula

Least Common Multiple of 930,425,435 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 930,425,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,425,435) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(930,425,435) x common factors =5 x 15 = 75

LCM(930,425,435) = ( 930 × 425 × 435 ) / 75

LCM(930,425,435) = 171933750 / 75

LCM(930,425,435) = 2292450


Lets's calculate GCF of 61,24,786

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2292450/1

Therefore the LCM of Fractions 930/61,425/24,435/786 is 2292450

Greatest Common Factor of 61,24,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,24,786 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 61,24,786 . The biggest common factor number is the GCF number.
So the greatest common factor 61,24,786 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 930/61, 425/24, 435/786

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 930/61, 425/24, 435/786?

Answer: LCM of Numerators as per given numbers 930/61, 425/24, 435/786 is

LCM of Numerators i.e. for 930,425,435 is 2292450

GCF of denominators i.e. for 61,24,786 is 1.

Thus, LCM of Fractions is 2292450.Finally, LCM of Fractions for 930/61, 425/24, 435/786 is 2292450.