Least Common Multiple of 21/918, 511/430, 599/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/918, 511/430, 599/948 quickly i.e. 918267/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/918, 511/430, 599/948 is 918267/2.

LCM(21/918, 511/430, 599/948) = 918267/2

LCM of 21/918, 511/430, 599/948

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 21/918,511/430,599/948

Given numbers are 21/918,511/430,599/948

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 21,511,599

Least Common Multiple of Numerators i.e. LCM of 21,511,599 is 918267.

GCF of Denominators means GCF of 918,430,948 as per the given fractions.

GCF of 918,430,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,511,599

LCM of Fractions 21/918,511/430,599/948 is 918267/2

7 21, 511, 599
3, 73, 599

∴ So the LCM of the given numbers is 7 x 3 x 73 x 599 = 918267

Least Common Multiple of 21,511,599 with GCF Formula

Least Common Multiple of 21,511,599 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 21,511,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,511,599) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,511,599) x common factors =1 x 7 = 7

LCM(21,511,599) = ( 21 × 511 × 599 ) / 7

LCM(21,511,599) = 6427869 / 7

LCM(21,511,599) = 918267


Lets's calculate GCF of 918,430,948

2 918, 430, 948
459, 215, 474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918267/2

Therefore the LCM of Fractions 21/918,511/430,599/948 is 918267/2

Greatest Common Factor of 918,430,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,430,948 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 918,430,948 . The biggest common factor number is the GCF number.
So the greatest common factor 918,430,948 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 21/918, 511/430, 599/948

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 21/918, 511/430, 599/948?

Answer: LCM of Numerators as per given numbers 21/918, 511/430, 599/948 is

LCM of Numerators i.e. for 21,511,599 is 918267

GCF of denominators i.e. for 918,430,948 is 2.

Thus, LCM of Fractions is 918267/2.Finally, LCM of Fractions for 21/918, 511/430, 599/948 is 918267/2.